Subjects -> MATHEMATICS (Total: 1118 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (819 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (819 journals)                  1 2 3 4 5 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 5)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Accounting Perspectives     Full-text available via subscription   (Followers: 9)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 17)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 9)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 44)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 13)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 8)
Advances in Complex Systems     Hybrid Journal   (Followers: 12)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 23)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 5)
Advances in Fixed Point Theory     Open Access   (Followers: 9)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 22)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 10)
Advances in Materials Science     Open Access   (Followers: 22)
Advances in Mathematical Physics     Open Access   (Followers: 10)
Advances in Mathematics     Full-text available via subscription   (Followers: 22)
Advances in Numerical Analysis     Open Access   (Followers: 8)
Advances in Operations Research     Open Access   (Followers: 14)
Advances in Operator Theory     Hybrid Journal   (Followers: 4)
Advances in Porous Media     Full-text available via subscription   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 11)
Advances in Science and Research (ASR)     Open Access   (Followers: 8)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 12)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 7)
Afrika Matematika     Hybrid Journal   (Followers: 3)
Air, Soil & Water Research     Open Access   (Followers: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 4)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 1)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 6)
Algebra and Logic     Hybrid Journal   (Followers: 8)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 14)
Algorithms Research     Open Access   (Followers: 2)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 10)
American Journal of Mathematical Analysis     Open Access   (Followers: 2)
American Journal of Mathematical and Management Sciences     Hybrid Journal   (Followers: 1)
American Journal of Mathematics     Full-text available via subscription   (Followers: 9)
American Journal of Operations Research     Open Access   (Followers: 8)
American Mathematical Monthly     Full-text available via subscription   (Followers: 7)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 13)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 10)
Analysis Mathematica     Full-text available via subscription  
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access   (Followers: 8)
Annales Mathematicae Silesianae     Open Access   (Followers: 2)
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 17)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 8)
Annals of Functional Analysis     Hybrid Journal   (Followers: 4)
Annals of Mathematics     Full-text available via subscription   (Followers: 4)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 16)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 6)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 2)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 16)
Applied Mathematics     Open Access   (Followers: 10)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 13)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 2)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
Applied Mathematics Letters     Full-text available via subscription   (Followers: 3)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 2)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 6)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 6)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 4)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 4)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 6)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 6)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 24)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 4)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 7)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 2)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal   (Followers: 1)
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 3)
British Journal for the History of Mathematics     Hybrid Journal  
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 15)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 3)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 3)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access   (Followers: 2)
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 23)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 6)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 3)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access   (Followers: 1)
CODEE Journal     Open Access   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 17)
Commentarii Mathematici Helvetici     Hybrid Journal  
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 4)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 5)
Complex Analysis and its Synergies     Open Access   (Followers: 3)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Composite Materials Series     Full-text available via subscription   (Followers: 11)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 3)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 1)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 9)
Computational Mechanics     Hybrid Journal   (Followers: 10)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 11)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 11)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access   (Followers: 1)
Contributions to Discrete Mathematics     Open Access   (Followers: 1)
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access   (Followers: 1)
Demographic Research     Open Access   (Followers: 16)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access   (Followers: 3)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 4)

        1 2 3 4 5 | Last

Similar Journals
Journal Cover
Banach Journal of Mathematical Analysis
Number of Followers: 1  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 2662-2033 - ISSN (Online) 1735-8787
Published by Springer-Verlag Homepage  [2658 journals]
  • The limiting weak-type behaviors of the strong maximal operators

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      Abstract: Abstract It is well known that the weak (1, 1) estimate does not hold for the strong maximal operator, but it still enjoys certain weak \(L\log L\) -type norm inequality. Let \(\Phi _n(t)=t(1+(\log ^+t)^{n-1})\) and the space \(L_{\Phi _n}({\mathbb {R}^{n}})\) be the set of all measurable functions on \({\mathbb {R}^{n}}\) such that $$\begin{aligned} \Vert f\Vert _{L_{\Phi _n}({\mathbb {R}^{n}})} :=\Vert \Phi _n( f )\Vert _{L^1({\mathbb {R}^{n}})}<\infty . \end{aligned}$$ In this paper, we introduce a new weak norm space \(L_{\Phi _n}^{1,\infty }({\mathbb {R}^{n}})\) , which is more larger than \(L^{1,\infty }({\mathbb {R}^{n}})\) space, and establish the corresponding limiting weak-type behavior of the strong maximal operator. Similar result has been extended to the multilinear strong maximal operator.
      PubDate: 2021-10-08
       
  • New applications to invariant matrix norms and combinatorics of an
           integral representation of natural powers of the numerical values

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      Abstract: Abstract Let \(\vee ^k A\) be the k-th symmetric tensor power of \(A\in M_n(\mathbb {C})\) . In 2021, we have expressed the normalized trace of \(\vee ^kA\) as an integral of the k-th powers of the numerical values of A over the unit sphere \(\mathbb {S}^{n}\) of \(\mathbb {C}^{n}\) with respect to the normalized Euclidean surface measure \(\sigma\) . In this paper, we first use this integral representation to construct a family of unitarily invariant norms on \(M_n(\mathbb {C})\) and then explore their relations to Schatten-norms of \(\vee ^k A\) . Another application yields a connection between the analysis of symmetric gauge functions with that of complete symmetric polynomials. Finally, motivated by the work of Bhatia and Holbrook (Linear Algebra Appl 95:43–68, 1987), and as pointed out by Bhatia (Graduate texts in mathematics, 1996) concerning the development of the theory of weakly unitarily invariant norms, we provide an explicit form for the weakly unitarily invariant norm corresponding to the \(L^4\) -norm on the space \(C(\mathbb {S}^{n})\) of continuous functions on the sphere. Our results generalize those of Bhatia and Holbrook in different directions and we conclude with a method for computing those weakly unitarily invariant norms on \(M_n(\mathbb {C})\) that are associated to \(L^{2k}\) -norms on \(C(\mathbb {S}^{n})\) .
      PubDate: 2021-09-29
       
  • Laplace transformers in norm ideals of compact operators

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      Abstract: Abstract Let \(p\geqslant 2, \Phi\) a symmetrically norming (s.n.) function (resp. \({\Phi ^{^(\;\!\!^{p}\;\!\!^)}}\) its p-modification and \({\Phi ^{{^(\;\!\!^{p}\;\!\!^)}^{_*}}}\) a s.n. function adjoint to \({\Phi ^{^(\;\!\!^{p}\;\!\!^)}}\) ) and \({{\varvec{\mathcal {C}}}}_{\;\!\!\Phi }({\mathcal {H}})\) (resp. \({{\varvec{\mathcal {C}}}}_{\;\!\!\Phi ^{{^(\;\!\!^{p}\;\!\!^)}\;\!\!}}\;\!\!({\mathcal {H}})\) and \({{\varvec{\mathcal {C}}}}_{\;\!\!\Phi ^{{^(\;\!\!^{p}\;\!\!^)}^{_*}}}\!({\mathcal {H}})\) ) be its associated ideals of compact operators acting on a Hilbert space \({\mathcal {H}}\) and let \(f,g,h:[0,{+\infty })\rightarrow {{\mathbb {C}}}\) be Lebesgue measurable functions. Some recently obtained Cauchy–Schwarz-type norm inequalities were used to systematically explore a class of Laplace transformers of the form \({\mathcal {L}}f({{\Delta _{A,B}}}) :X\mapsto \int _{[0,{+\infty })} e^{-tA}\) \(Xe^{-tB} f(t)\,{\rm d}t \,\bigl ({=\int _{[0,{+\infty })} e^{-t{\Delta _{A,B}}}X f(t)\,{\rm d}t}\bigr ),\) acting on the \({{\varvec{\mathcal {B}}}}({\mathcal {H}}),\) \({{\varvec{\mathcal {C}}}}_{\;\!\!\Phi }({\mathcal {H}}) ,\) \({{\varvec{\mathcal {C}}}}_{\;\!\!\Phi ^{{^(\;\!\!^{p}\;\!\!^)}\;\!\!}}\;\!\!({\mathcal {H}})\) or \({{\varvec{\mathcal {C}}}}_{\;\!\!\Phi ^{{^(\;\!\!^{p}\;\!\!^)}^{_*}}}\!({\mathcal {H}}) ,\) induced by a generalized derivation \({\Delta _{A,B}}:{{\varvec{\mathcal {B}}}}({\mathcal {H}})\) \(\rightarrow {{\varvec{\mathcal {B}}}}({\mathcal {H}}):X\mapsto AX+XB\) and \({{\varvec{\mathcal {B}}}}({{\varvec{\mathcal {B}}}}({\mathcal {H}}))\) valued Laplace transform \({\mathcal {L}}f\) of a function f. If \(\int _{\,\![0,{+\infty })}\!({\vert {\!\,\!\vert {\,\!e^{-tA}x\!\,}\vert \!\,\!}\vert ^2 f(t) ^2+\vert {\!\,\!\vert {\,\!e^{-tB}x\!\,}\vert \!\,\!}\vert ^2 g(t) ^2}) \,{\rm d}t<\!\,\!{+\infty }\) for all \(x\in {\mathcal {H}}\) and both A and B are normal, then for all \(X\in {{\varvec{\mathcal {C}}}}_{\;\!\!\Phi }({\mathcal {H}})\) $$\begin{aligned}&\biggl \vert {\!\biggl \vert {\,\!\int _{[0,{+\infty })} e^{-tA}Xe^{-tB} f(t)g(t)\,{\rm d}t\,\!}\biggr \vert \!}\biggr \vert _\Phi \\&\quad \leqslant \biggl \vert {\!\biggl \vert {\,\!\biggl ({\int _{[0,{+\infty })} e^{-t(A^*+A)} f(t) ^2\,{\rm d}t}\biggr )^{\!\!\,\!\frac{1}{2}}\! X \biggl ({\int _{[0,{+\infty })} e^{-t(B^*+B)} g(t) ^2\,{\rm d}t}\biggr )^{\!\!\,\!\frac{1}{2}}\,\!}\biggr \vert \!}\biggr \vert _\Phi . \end{aligned}$$ If
      PubDate: 2021-09-24
       
  • Three-isometric liftings with invariant isometric part

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      Abstract: Abstract In this article we refer to operators T on a Hilbert space \(\mathcal {H}\) which can be lifted to some 3-isometries S on Hilbert spaces \(\mathcal {K}\) containing \(\mathcal {H}\) (as a closed subspace). Namely, we consider only liftings S with the invariant part \(\mathcal {K}\ominus \mathcal {H}\) included in the kernel of the covariance operator \(S^*S-I\) . Such operators T can be identified as generalized (A, 2)-isometries, for self-adjoint operators A on \(\mathcal {H}\) with \(A\ge T^*T-I\) . The case when A is positive corresponds exactly to an expansive lifting S for T, and in this context are mentioned the operators similar to 2-isometries. We also describe such operators T by different triangulations induced by their liftings S. Here the entries are contractions, or operators intertwined with isometries by some positive operators depending on T. In the case when T is an (A, 2)-isometry and A-bounded, such a triangulation is obtained under the decomposition \(\mathcal {H}=\mathcal {N}(A)\oplus \overline{\mathcal {R}(A)}\) . Here the compression of T on \(\overline{\mathcal {R}(A)}\) is intertwined with a 2-isometry.
      PubDate: 2021-09-20
       
  • On properties of C-normal operators

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      Abstract: Abstract A bounded linear operator \(T: {{\mathcal {H}}}\rightarrow {{\mathcal {H}}}\) is a C-normal operator if there exists a conjugation C on \({{\mathcal {H}}}\) such that \([CT, (CT)^{*}]=0\) where \([R,S]:=RS-SR.\) In this paper we study properties of C-normal operators. In particular, we prove that \(T-\lambda \) is C-normal for all \(\lambda \in {{\mathbb {C}}}\) if and only if T is a complex symmetric operator with the conjugation C. Moreover, we show that if T is C-normal, then the following statements are equivalent; (i) T is normal, (ii) T is quasinormal, (iii) T is hyponormal, (iv) T is p-hyponormal for \(0<p\le 1\) . Finally, we consider operator transforms of C-normal operators.
      PubDate: 2021-09-14
       
  • Boundedness of operators generated by fractional semigroups associated
           with Schrödinger operators on Campanato type spaces via T1 theorem

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      Abstract: Abstract Let \({\mathcal {L}}=-\varDelta +V\) be a Schrödinger operator, where the nonnegative potential V belongs to the reverse Hölder class \(B_{q}\) . By the aid of the subordinative formula, we estimate the regularities of the fractional heat semigroup, \(\{e^{-t{\mathcal {L}}^{\alpha }}\}_{t>0},\) associated with \({\mathcal {L}}\) . As an application, we obtain the BMO \(^{\gamma }_{{\mathcal {L}}}\) -boundedness of the maximal function, and the Littlewood–Paley g-functions associated with \({\mathcal {L}}\) via T1 theorem, respectively.
      PubDate: 2021-09-06
       
  • An embedding theorem for anisotropic fractional Sobolev spaces

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      Abstract: Abstract Mixed-norm estimates are useful in studying solutions to dispersive equations. In this paper, we introduce the anisotropic fractional Sobolev spaces and prove that such spaces embed to mixed-norm Lebesgue spaces with certain indices. Moreover, we also give some embedding theorems between these spaces.
      PubDate: 2021-08-25
       
  • Anisotropic mixed-norm Campanato-type spaces with applications to duals of
           anisotropic mixed-norm Hardy spaces

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      Abstract: Abstract Let \(\vec {p}\in (0,\infty )^n\) and A be a general expansive matrix on \({\mathbb {R}}^n\) . In this article, the authors first introduce some new anisotropic mixed-norm Campanato-type space associated with A. Then the authors prove that this Campanato-type space is the dual space of the anisotropic mixed-norm Hardy space \(H^{\vec {p}}_A({\mathbb {R}}^n)\) for any given \(\vec {p}\in (0,\infty )^n\) , which further implies several equivalent characterizations of this Campanato-type space. Finally, as further applications, the authors establish the Carleson measure characterization of this Campanato-type space via first introducing the anisotropic mixed-norm tent space and establishing its atomic decomposition. In particular, even when the expansive matrix A is a diagonal matrix, all these results are new and, even in this case, the obtained dual result gives a complete answer to one open question proposed by Cleanthous et al. (J Geom Anal 27: 2758–2787, 2017).
      PubDate: 2021-08-11
       
  • Geometry of spaces of homogeneous trinomials on $${\mathbb {R}}^2$$ R 2

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      Abstract: Abstract For each pair of numbers \(m,n\in {{\mathbb {N}}}\) with \(m>n\) , we consider the norm on \({{\mathbb {R}}}^3\) given by \(\Vert (a,b,c)\Vert _{m,n}=\sup \{ ax^m+bx^{m-n}y^n+cy^m :x,y\in [-1,1]\}\) for every \((a,b,c)\in {{\mathbb {R}}}^3\) . We investigate some geometrical properties of these norms. We provide an explicit formula for \(\Vert \cdot \Vert _{m,n}\) , a full description of the extreme points of the corresponding unit balls and a parametrization and a plot of their unit spheres for certain values of m and n.
      PubDate: 2021-07-28
       
  • Submajorization on $$\ell ^p(I)^+$$ ℓ p ( I ) + determined by
           increasable doubly substochastic operators and its linear preservers

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      Abstract: Abstract We note that the well-known result of von Neumann (Contrib Theory Games 2:5–12, 1953) is not valid for all doubly substochastic operators on discrete Lebesgue spaces \(\ell ^p(I)\) , \(p\in [1,\infty )\) . This fact lead us to distinguish two classes of these operators. Precisely, the class of increasable doubly substochastic operators on \(\ell ^p(I)\) is isolated with the property that an analogue of the Von Neumann result on operators in this class is true. The submajorization relation \(\prec _s\) on the positive cone \(\ell ^p(I)^+\) , when \(p\in [1,\infty )\) , is introduced by increasable substochastic operators and it is provided that submajorization may be considered as a partial order. Two different shapes of linear preservers of submajorization \(\prec _s\) on \(\ell ^1(I)^+\) and on \(\ell ^p(I)^+\) , when I is an infinite set, are presented.
      PubDate: 2021-07-19
       
  • Numerical ranges of even-order tensor

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      Abstract: Abstract In this paper, the numerical range of an even-order tensor is defined using the norm of its square matrix unfolding. The basic properties of the numerical range of a matrix, such as compactness and convexity, are proved to hold for the numerical range of an even-order tensor. Also, we introduce normal tensors based on the contraction product. According to the Tucker decomposition, we get the numerical range of a normal tensor. Next, we introduce the singular-value decomposition (SVD) of an even-order tensor. Using this decomposition, we obtain the numerical range of such a tensor.
      PubDate: 2021-07-05
       
  • Linear maps preserving the Lorentz-cone spectrum in certain subspaces of
           $$M_{n}$$ M n

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      Abstract: Abstract In this paper, we completely characterize the linear maps \(\phi :\mathcal {M} \rightarrow \mathcal {M}\) that preserve the Lorentz-cone spectrum, when \(\mathcal {M}\) is one of the following subspaces of the space \(M_{n}\) of \(n\times n\) real matrices: the subspace of diagonal matrices, the subspace of block-diagonal matrices \(\widetilde{A}\oplus [a]\) , where \(\widetilde{A}\in M_{n-1}\) is symmetric, and the subspace of block-diagonal matrices \(\widetilde{A}\oplus [a]\) , where \(\widetilde{A}\in M_{n-1}\) is a generic matrix. In particular, we show that \(\phi\) should be what we call a standard map, namely, a map of the form \(\phi (A)=PAQ\) for all \(A\in \mathcal {M}\) or \(\phi (A)=PA^{T}Q\) for all \(A\in \mathcal {M},\) for some matrices \(P,Q\in M_{n}\) . We then characterize the standard maps preserving the Lorentz-cone spectrum, when \(\mathcal {M}\) is the subspace \(S_{n}\) of symmetric matrices. The case \(\mathcal {M=}M_{n}\) was considered in a recent paper by Seeger (LAA 2020). We include it here for completeness.
      PubDate: 2021-06-30
       
  • Convergence structures and locally solid topologies on vector lattices of
           operators

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      Abstract: Abstract For vector lattices E and F, where F is Dedekind complete and supplied with a locally solid topology, we introduce the corresponding locally solid absolute strong operator topology on the order bounded operators \({\mathscr{L}}_{\mathrm{ob}}(E,F)\) from E into F. Using this, it follows that \({\mathscr{L}}_{\mathrm{ob}}(E,F)\) admits a Hausdorff uo-Lebesgue topology whenever F does. For each of order convergence, unbounded order convergence, and—when applicable—convergence in the Hausdorff uo-Lebesgue topology, there are both a uniform and a strong convergence structure on \({\mathscr{L}}_{\mathrm{ob}}(E,F)\) . Of the six conceivable inclusions within these three pairs, only one is generally valid. On the orthomorphisms of a Dedekind complete vector lattice, however, five are generally valid, and the sixth is valid for order bounded nets. The latter condition is redundant in the case of sequences of orthomorphisms, as a consequence of a uniform order boundedness principle for orthomorphisms that we establish. We furthermore show that, in contrast to general order bounded operators, orthomorphisms preserve not only order convergence of nets, but unbounded order convergence and—when applicable—convergence in the Hausdorff uo-Lebesgue topology as well.
      PubDate: 2021-06-30
       
  • Weighted Leibniz-type rules for bilinear flag multipliers

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      Abstract: Abstract We establish Leibniz type rules for bilinear flag multipliers with limited regularity in the Lebesgue spaces with flag weights. As applications, we obtain flag fractional Leibniz rules with weights, smoothing properties of bilinear flag fractional integrals, and scattering properties for solutions to a certain system of PDEs. Our results appear to be new even in the unweighted case.
      PubDate: 2021-06-28
       
  • On the weak maximizing properties

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      Abstract: Abstract Quite recently, a new property related to norm-attaining operators has been introduced: the weak maximizing property (WMP). In this note, we define a generalised version of it considering other topologies than the weak one (mainly the \(\hbox {weak}^*\) topology). We provide new sufficient conditions, based on the moduli of asymptotic uniform smoothness and convexity, which imply that a pair (X, Y) enjoys a certain maximizing property. This approach not only allows us to (re)obtain as a direct consequence that the pair \((\ell _p,\ell _q)\) has the WMP but also provides many more natural examples of pairs having a given maximizing property.
      PubDate: 2021-06-24
       
  • Sample paths of white noise in spaces with dominating mixed smoothness

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      Abstract: Abstract The sample paths of white noise are proved to be elements of certain Besov spaces with dominating mixed smoothness. Unlike in isotropic spaces, here the regularity does not get worse with increasing space dimension. Consequently, white noise is actually much smoother than the known sharp regularity results in isotropic spaces suggest. An application of our techniques yields new results for the regularity of solutions of Poisson and heat equation on the half space with boundary noise. The main novelty is the flexible treatment of the interplay between the singularity at the boundary and the smoothness in tangential, normal and time direction.
      PubDate: 2021-06-16
       
  • Dual spaces for variable martingale Lorentz–Hardy spaces

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      Abstract: Abstract Let \(H_{p(\cdot ),q}\) be the variable Lorentz–Hardy martingale spaces. In this paper, we give a new atomic decomposition for these spaces via simple \(L_r\) -atoms \((1<r \le \infty )\) . Using this atomic decomposition, we consider the dual spaces of variable Lorentz-Hardy spaces \(H_{p(\cdot ),q}\) for the case \(0<p(\cdot )\le 1\) , \(0<q\le 1\) , and \(0<p(\cdot )<2\) , \(1<q<\infty \) respectively, and prove that they are equivalent to the BMO spaces with variable exponent. Furthermore, we also obtain several John-Nirenberg theorems based on the dual results.
      PubDate: 2021-06-16
       
  • Integral operators on Sobolev–Lebesgue spaces

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      Abstract: Abstract For \(\mu , \beta \in {\mathbb {R}}\) , we introduce and study in detail the generalized Stieltjes operators $$\begin{aligned} {\mathcal {S}}_{\beta ,\mu } f(t):={t^{\mu -\beta }}\int _0^\infty {s^{\beta -1}\over (s+t)^{\mu }}f(s)\mathrm{d}s, \qquad t>0, \end{aligned}$$ on Sobolev spaces \({{\mathcal{T}}_{p}^{{(\alpha )}}} (t^{\alpha })\) (where \(\alpha \ge 0\) is the fractional order of derivation and these spaces are embedded in \(L^p({\mathbb {R}}^+)\) for \(p\ge 1\) ). If \(0< \beta - \frac{1}{p} < \mu \) , then operators \({\mathcal {S}}_{\beta ,\mu }\) are bounded, commute and factorize with generalized Cesàro operator on \({{\mathcal{T}}_{p}^{{(\alpha )}}} (t^{\alpha })\) . We give their norm, and calculate and represent explicitly their spectrum set \(\sigma ({\mathcal {S}}_{\beta ,\mu })\) . The main technique is to subordinate these operators in terms of \(C_0\) -groups which allows to transfer new properties from some exponential functions to these operators. We also prove some similar results for generalized Stieltjes operators \({\mathcal {S}}_{\beta ,\mu }\) in the Sobolev–Lebesgue \({{\mathcal {T}}_{p}^{(\alpha )}}(\vert t\vert ^\alpha )\) defined on the real line \({\mathbb {R}}\) . We show connections of this family of operators with the Fourier and the Hilbert transform, and a convolution product defined by the Hilbert transform.
      PubDate: 2021-06-08
       
  • On oscillatory singular integrals and their commutators with
           non-convolutional Hölder class kernels

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      Abstract: Abstract Let P(x, y) be a real-valued polynomial on \({\mathbb {R}}^n\times {\mathbb {R}}^n\) . We denote by \(\deg _x(P)\) (resp., \(\deg _y(P)\) ) the degree of P in x (resp., y). In this paper, we investigate the properties of the oscillatory integral given by \(T_{P,K}f(x)=\mathrm{p.v.}\int _{{\mathbb {R}}^n}\mathrm{e}^{iP(x,y)}K(x,y)f(y)\mathrm{d}y,\) where K is a Calderón–Zygmund non-convolutional type kernel. If the kernel K(x, y) satisfies a Hölder condition and P(x, y) satisfies the condition \(\deg _x(P)\le 1\) or \(\deg _y(P)\le 1\) , we show that both \(T_{P,K}\) and its commutator \(T_{b,P,K}\) are bounded on \(L_w^p({\mathbb {R}}^n)\) for \(1<p<\infty \) , \(b\in \mathrm{BMO}({\mathbb {R}}^n)\) and \(w\in A_p({\mathbb {R}}^n)\) . We also prove that the commutator \(T_{b,P,K}\) is a compact operator on \(L_w^p({\mathbb {R}}^n)\) if \(b\in \mathrm{CMO}({\mathbb {R}}^n)\) for all \(1<p<\infty \) and \(w\in A_p({\mathbb {R}}^n)\) . Here \(\mathrm{CMO}({\mathbb {R}}^n)\) denotes the closure of \({\mathcal {C}}_c^\infty ({\mathbb {R}}^n)\) in the \(\mathrm{BMO}({\mathbb {R}}^n)\) topology.
      PubDate: 2021-06-08
       
  • Non-smooth atomic decomposition of variable 2-microlocal Besov-type and
           Triebel–Lizorkin-type spaces

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      Abstract: Abstract In this paper we provide non-smooth atomic decompositions of 2-microlocal Besov-type and Triebel–Lizorkin-type spaces with variable exponents \(B^{\varvec{w}, \phi }_{p(\cdot ),q(\cdot )}({\mathbb {R}}^n)\) and \(F^{\varvec{w}, \phi }_{p(\cdot ),q(\cdot )}({\mathbb {R}}^n)\) . Of big importance in general, and an essential tool here, are the characterizations of the spaces via maximal functions and local means, that we also present. These spaces were recently introduced by Wu et al. and cover not only variable 2-microlocal Besov and Triebel–Lizorkin spaces \(B^{\varvec{w}}_{p(\cdot ),q(\cdot )}({\mathbb {R}}^n)\) and \(F^{\varvec{w}}_{p(\cdot ),q(\cdot )}({\mathbb {R}}^n)\) , but also the more classical smoothness Morrey spaces \(B^{s, \tau }_{p,q}({\mathbb {R}}^n)\) and \(F^{s,\tau }_{p,q}({\mathbb {R}}^n)\) . Afterwards, we state a pointwise multipliers assertion for this scale.
      PubDate: 2021-05-20
       
 
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