Abstract: Let be a Schrödinger operator on ,, where is the Laplacian operator on , and the nonnegative potential V belongs to the reverse Hölder class with . For given , the fractional integrals associated with the Schrödinger operator is defined by . Suppose that b is a locally integrable function on and the commutator generated by b, and is defined by . In this paper, we first introduce some kinds of weighted Morrey spaces related to certain nonnegative potentials belonging to the reverse Hölder class with . Then, we will establish the boundedness properties of the fractional integrals on these new spaces. Furthermore, weighted strong-type estimate for the corresponding commutator in the framework of Morrey space is also obtained. The classes of weights, the classes of symbol functions, as well as weighted Morrey spaces discussed in this paper are larger than ,, and corresponding to the classical case (that is ). PubDate: Mon, 16 Mar 2020 14:50:03 +000

Abstract: Let be a Krein space with fundamental symmetry J. Starting with a canonical block-operator matrix representation of J, we study the regular subspaces of . We also present block-operator matrix representations of the J-self-adjoint projections for the regular subspaces of , as well as for the regular complements of the isotropic part in a pseudo-regular subspace of . PubDate: Mon, 16 Mar 2020 14:20:07 +000

Abstract: We study two sufficient conditions for the boundedness of a class of pseudodifferential operators with symbols in the Hölmander class on weighted Hardy spaces where belongs to Muckenhoupt class . The first one is an estimate from into . We get a better range of admissible and . The second one is a weighted version bounded for the operators on , and it is an addition to the literature. PubDate: Wed, 11 Mar 2020 07:37:05 +000

Abstract: This paper is devoted to the maximal regularity of sectorial operators in Lebesgue spaces with a variable exponent. By extending the boundedness of singular integral operators in variable Lebesgue spaces from scalar type to abstract-valued type, the maximal regularity of sectorial operators is established. This paper also investigates the trace of the maximal regularity space , together with the imbedding property of into the range-varying function space . Finally, a type of semilinear evolution equations with domain-varying nonlinearities is taken into account. PubDate: Tue, 10 Mar 2020 06:20:07 +000

Abstract: The purpose of this paper is to generalize the fixed-point theorems for Banach–Pata-type contraction and Kannan–Pata-type contraction from metric spaces to Kaleva–Seikkala’s type fuzzy metric spaces. Moreover, two examples are given for the support of our results. PubDate: Fri, 28 Feb 2020 11:20:10 +000

Abstract: In this paper we consider the existence of solutions to following kind of problems where is an open bounded subset of , and , is a function which belongs to a suitable integrable space. PubDate: Wed, 26 Feb 2020 10:20:10 +000

Abstract: The boundedness of operators on Hardy spaces is usually given by atomic decomposition. In this paper, we obtain the boundedness of singular integral operators in mixed Journé class on mixed Hardy spaces by a direct method. PubDate: Mon, 24 Feb 2020 16:05:07 +000

Abstract: The purpose of this article is to study the isometries between vector-valued absolutely continuous function spaces, over compact subsets of the real line. Indeed, under certain conditions, it is shown that such isometries can be represented as a weighted composition operator. PubDate: Mon, 24 Feb 2020 09:20:16 +000

Abstract: In this paper, we investigate some operator inequalities for the p-Schatten norm and obtain some other versions of these inequalities when parameters taking values in different regions. Let such that . Then, for , and ,. For , and , the inequalities are reversed. Moreover, we get some applications of our results. PubDate: Mon, 24 Feb 2020 09:20:15 +000

Abstract: In this article, we establish some new Hermite–Hadamard-type inequalities involving the conformable fractional integrals. As applications, several inequalities for the approximation error in the midpoint formula and certain bivariate means are derived. PubDate: Sun, 23 Feb 2020 15:50:05 +000

Abstract: In this paper, we study finite-order entire solutions of nonlinear differential-difference equations and solve a conjecture proposed by Chen, Gao, and Zhang when the solution is an exponential polynomial. We also find that any exponential polynomial solution of a nonlinear difference equation should have special forms. PubDate: Thu, 20 Feb 2020 13:35:02 +000

Abstract: We study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space, the analytic Besov spaces, and the space . PubDate: Wed, 19 Feb 2020 14:50:06 +000

Abstract: We obtain a characterization of pair matrices A and B of order n such that where denotes the j-th largest singular values of It can imply not only some well-known singular value inequalities for sums and direct sums of matrices but also Zhan’s result related to singular values of differences of positive semidefinite matrices. In addition, some related and new inequalities are also obtained. PubDate: Tue, 18 Feb 2020 15:35:03 +000

Abstract: We solve the additive -random operator inequality , in which are fixed and . Finally, we get an approximation of the mentioned additive -random operator inequality by direct technique. PubDate: Tue, 18 Feb 2020 13:05:03 +000

Abstract: In this work, we combine conformable double Laplace transform and Adomian decomposition method and present a new approach for solving singular one-dimensional conformable pseudoparabolic equation and conformable coupled pseudoparabolic equation. Furthermore, some examples are given to show the performance of the proposed method. PubDate: Mon, 17 Feb 2020 13:05:41 +000

Abstract: In this paper, we establish an explicit relation between the growth of the maximum modulus and the Taylor coefficients of entire functions in several complex matrix variables (FSCMVs) in hyperspherical regions. The obtained formulas enable us to compute the growth order and the growth type of some higher dimensional generalizations of the exponential, trigonometric, and some special FSCMVs which are analytic in some extended hyperspherical domains. Furthermore, a result concerning linear substitution of the mode of increase of FSCMVs is given. PubDate: Mon, 17 Feb 2020 12:35:16 +000

Abstract: This paper focuses on the invariance of deficiency indices of second-order symmetric linear difference equations under perturbations. By applying the perturbation theory of Hermitian linear relations, the invariance of deficiency indices of the corresponding minimal subspaces under bounded and relatively bounded perturbations is built. As a consequence, the invariance of limit types of second-order symmetric linear difference equations under bounded and relatively bounded perturbations is obtained. PubDate: Thu, 13 Feb 2020 15:35:07 +000

Abstract: This paper deals with a singular (Weyl’s limit circle case) non-self-adjoint (dissipative) Dirac operator with eigenparameter dependent boundary condition and finite general transfer conditions. Using the equivalence between Lax-Phillips scattering matrix and Sz.-Nagy-Foiaş characteristic function, the completeness of the eigenfunctions and associated functions of this dissipative operator is discussed. PubDate: Thu, 13 Feb 2020 10:50:03 +000

Abstract: One purpose of this paper is to study the growth of entire functions defined by Laplace-Stieltjes transform converges on the whole complex plane, by introducing the concept of -proximate order, and one equivalence theorem of the -proximate order of Laplace-Stieltjes transforms is obtained. Besides, the second purpose of this paper is to investigate the approximation of entire functions defined by Laplace-Stieltjes transforms with -proximate order, and some results about the -proximate order, the error, and the coefficients of Laplace-Stieltjes transforms are obtained, which are generalization and improvement of the previous theorems given by Luo and Kong, Singhal, and Srivastava. PubDate: Thu, 13 Feb 2020 06:35:06 +000

Abstract: In this paper, we consider the coupled elliptic system with a Sobolev critical exponent. We show the existence of a sign changing solution for problem for the coupling parameter . We also construct multiple sign changing solutions for the symmetric case. PubDate: Tue, 11 Feb 2020 04:05:05 +000

Abstract: The aim of this paper is to establish the intrinsic square function characterizations in terms of the intrinsic Littlewood–Paley -function, the intrinsic Lusin area function, and the intrinsic -function of the variable Hardy–Lorentz space , for being a measurable function on satisfying and the globally log-Hölder continuity condition and , via its atomic and Littlewood–Paley function characterizations. PubDate: Mon, 10 Feb 2020 11:35:02 +000

Abstract: Nikol’skii–type inequalities, that is inequalities between different metrics of trigonometric polynomials on the torus for the Lorentz–Zygmund spaces, are obtained. The results of previous paper “Nikol’skii inequalities for Lorentz–Zygmund spaces” are extended. Applications to approximation spaces in Lorentz–Zygmund spaces and to Besov spaces are given. PubDate: Mon, 03 Feb 2020 03:20:01 +000

Abstract: In this paper, we prove the difference equation does not have meromorphic solution of finite order over the complex plane . We also discuss an application to the unique range set problem. PubDate: Sun, 02 Feb 2020 07:05:00 +000

Abstract: In this paper, we obtain conditions of the inclusion relations between -modulation spaces and Triebel–Lizorkin spaces. PubDate: Thu, 30 Jan 2020 13:35:07 +000

Abstract: In this paper, we prove the existence and multiplicity of positive solutions for a class of fractional & Laplacian problem with singular nonlinearity. Our approach relies on the variational method, some analysis techniques, and the method of Nehari manifold. PubDate: Thu, 30 Jan 2020 11:50:20 +000

Abstract: In this paper, we apply the fixed-point theorems of γ concave and convex operators to establish the existence of positive solutions for fractional differential systems with multipoint boundary conditions. Two examples are given to support our results. PubDate: Thu, 30 Jan 2020 10:05:06 +000

Abstract: The purpose of this article is to study the uniqueness of meromorphic functions on annuli. Under a certain condition about deficiencies, we prove some new uniqueness theorems of meromorphic functions on the annulus , where . PubDate: Tue, 28 Jan 2020 10:05:10 +000

Abstract: In the article, we present several Hermite–Hadamard-type inequalities for the exponentially convex functions via conformable integrals. As applications, we give new inequalities for certain bivariate means. PubDate: Mon, 27 Jan 2020 05:50:13 +000

Abstract: The purpose of this paper is to introduce the modified Agarwal-O’Regan-Sahu iteration process (S-iteration) for finding endpoints of multivalued nonexpansive mappings in the setting of Banach spaces. Under suitable conditions, some weak and strong convergence results of the iterative sequence generated by the proposed process are proved. Our results especially improve and unify some recent results of Panyanak (J. Fixed Point Theory Appl. (2018)). At the end of the paper, we offer an example to illustrate the main results. PubDate: Wed, 22 Jan 2020 06:20:09 +000

Abstract: In this paper, a subspace of the universal Teichmüller space, which is related to the analytic function space , is introduced and the holomorphy of the Bers map is shown. It is also proved that the pre-Bers map is holomorphic and the prelogarithmic derivative model of is a disconnected subset of the function space . Moreover, several equivalent descriptions of elements of are obtained and the holomorphy of higher Bers maps is proved. PubDate: Tue, 21 Jan 2020 15:35:08 +000