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Similar Journals
 Journal of Contemporary Mathematical AnalysisJournal Prestige (SJR): 0.353 Number of Followers: 0      Hybrid journal (It can contain Open Access articles) ISSN (Print) 1068-3623 - ISSN (Online) 1934-9416 Published by Springer-Verlag  [2626 journals]
• On Compactness of Regular Integral Operators in the Space L 1
• Abstract: Abstract In this paper we obtain a sufficient condition for quite continuity of Fredholm type integral operators in the space L1(a, b). Uniform approximations by operators with degenerate kernels of horizontally striped structures are constructed. A quantitative error estimate is obtained. We point out the possibility of application of the obtained results to second kind integral equations, including convolution equations on a finite interval, equations with polar kernels, one-dimensional equations with potential type kernels, and some transport equations in non-homogeneous layers.
PubDate: 2018-11-01
DOI: 10.3103/S106836231806002X

• The Sine Representation of Centrally Symmetric Convex Bodies
• Abstract: Abstract The problem of the sine representation for the support function of centrally symmetric convex bodies is studied. We describe a subclass of centrally symmetric convex bodies which is dense in the class of centrally symmetric convex bodies. Also, we obtain an inversion formula for the sine-transform.
PubDate: 2018-11-01
DOI: 10.3103/S1068362318060079

• Sharp Norm Estimates for Weighted Bergman Projections in the Mixed Norm
Spaces
• Abstract: Abstract In this paper, we show that the norm of the Bergman projection on Lp,q-spaces in the upper half-plane is comparable to csc(π/q). Then we extend this result to a more general class of domains, known as the homogeneous Siegel domains of type II.
PubDate: 2018-11-01
DOI: 10.3103/S1068362318060031

• Almost Everywhere Convergence of Greedy Algorithm with Respect to Vilenkin
System
• Abstract: Abstract In this paper, we prove that for any ε ∈ (0, 1) there exists ameasurable set E ∈ [0, 1) with measure E > 1 − ε such that for any function f ∈ L1[0, 1), it is possible to construct a function $$\tilde f \in {L^1}[0,1]$$ coinciding with f on E and satisfying $$\int_0^1 { \tilde f(x) - f(x) dx < \varepsilon }$$ , such that both the Fourier series and the greedy algorithm of $$\tilde f$$ with respect to a bounded Vilenkin system are almost everywhere convergent on [0, 1).
PubDate: 2018-11-01
DOI: 10.3103/S1068362318060043

• On Some Subclasses of Delta-Subharmonic Functions of Bounded Type in the
Disc
• Abstract: Abstract The paper gives the delta-subharmonic extension of the part of the factorization theory of M. M. Djrbashian - V. S. Zakaryan, which relates with the descriptive representations of the classes N{ω} of functions meromorphic in the unit disc, contained in Nevanlinna’s class N of functions of bounded type.
PubDate: 2018-11-01
DOI: 10.3103/S1068362318060055

• On a Class of Weakly Hyperbolic Operators
• Abstract: Abstract The paper considers Cauchy problem in the Gevre type multianisotropic spaces. Necessary and sufficient conditions for unique solvability of this problem are obtained and the properties of operators (polynomials) that are hyperbolic with a specified weight are investigated.
PubDate: 2018-11-01
DOI: 10.3103/S1068362318060018

• Certain Classes of Analytic Functions Related to the Crescent-Shaped
Regions
• Abstract: Abstract In this paper, we study certain classes of analytic functions which satisfy a subordination condition and are associated with the crescent-shaped regions. We first give certain integral representations for the functions belonging to these classes and also present a relevant example. Making use of some known lemmas, we derive sufficient conditions for the functions to be in these classes. Some results on coefficient estimates are also obtained.
PubDate: 2018-11-01
DOI: 10.3103/S1068362318060067

• Conjugate Functions and the Modulus of Smoothness of Fractional Order
• Abstract: Abstract In the present paper, estimates of the partial moduli of smoothness of fractional order of the conjugate functions of several variables are obtained in the space C(Tn). The accuracy of the obtained estimates is established by appropriate examples.
PubDate: 2018-09-01
DOI: 10.3103/S1068362318050060

• On M *-sets for Series by Franklin System
• Abstract: Abstract In this paper, we prove that a set E is an M*-set or an AM*-set for the Franklin system if and only if E contains a nonempty perfect set.
PubDate: 2018-09-01
DOI: 10.3103/S1068362318050047

• Almost Everywhere Convergence of Strong Nörlund Logarithmic Means of
Walsh-Fourier Series
• Abstract: Abstract In this paper we study the maximal operator for a class of subsequences of strong Nörlund logarithmic means of Walsh-Fourier series. For such a class we prove the almost everywhere strong summability for every integrable function f.
PubDate: 2018-09-01
DOI: 10.3103/S1068362318050059

• On the Solvability of a Mixed Problem for an One-dimensional Semilinear
Wave Equation with a Nonlinear Boundary Condition
• Abstract: Abstract In this paper, for an one-dimensional semilinear wave equation we study a mixed problem with a nonlinear boundary condition. The questions of uniqueness and existence of global and blow-up solutions of this problem are investigated, depending on the nonlinearity nature appearing both in the equation and in the boundary condition.
PubDate: 2018-09-01
DOI: 10.3103/S1068362318050011

• Meromorphic Solutions for a Class of Differential Equations and Their
Applications
• Abstract: Abstract In this note, we study the admissible meromorphic solutions for algebraic differential equation fnf' + Pn−1(f) = R(z)eα(z), where Pn−1(f) is a differential polynomial in f of degree ≤ n − 1 with small function coefficients, R is a non-vanishing small function of f, and α is an entire function. We show that this equation does not possess any meromorphic solution f(z) satisfying N(r, f) = S(r, f) unless Pn−1(f) ≡ 0. Using this result, we generalize a well-known result by Hayman.
PubDate: 2018-09-01
DOI: 10.3103/S1068362318050023

• On the Convergence of Partial Sums with Respect to Vilenkin System on the
Martingale Hardy Spaces
• Abstract: Abstract In this paper, we derive characterizations of boundedness of subsequences of partial sums with respect to Vilenkin system on the martingale Hardy spaces Hp when 0 < p < 1. Moreover, we find necessary and sufficient conditions for the modulus of continuity of martingales f ∈ Hp, which provide convergence of subsequences of partial sums on the martingale Hardy spaces Hp. It is also proved that these results are the best possible in a special sense. As applications, some known and new results are pointed out.
PubDate: 2018-09-01
DOI: 10.3103/S1068362318050072

• Eigenfunctions of Composition Operators on Bloch-type Spaces
• Abstract: Abstract Suppose φ is a holomorphic self map of the unit disk and Cφ is a composition operator with symbol φ that fixes the origin and 0 < φ'(0) < 1. This paper explores sufficient conditions that ensure all the holomorphic solutions of Schröder equation for the composition operator Cφ to belong to a Bloch-type space Bα for some α > 0. In the second part of the paper, the results obtained for composition operators are extended to the case of weighted composition operators.
PubDate: 2018-09-01
DOI: 10.3103/S1068362318050035

• First Passage Time Distribution for Linear Functions of a Random Walk
• Abstract: Abstract In this paper, theorems about asymptotic behavior of the local probabilities of crossing the linear boundaries by a perturbed random walk are proved.
PubDate: 2018-07-01
DOI: 10.3103/S1068362318040052

• On Uniqueness of Series by General Franklin System
• Abstract: Abstract The paper considers the general Franklin system corresponding to a regular by couples partition of the segment [0; 1]. For series by this system, we prove uniqueness theorems and obtain restoration formulas for coefficients, provided that the series converge in measure and satisfy some necessary condition.
PubDate: 2018-07-01
DOI: 10.3103/S1068362318040040

• On Solvability of Regular Hypoelliptic Equations in ℝ n
• Abstract: Abstract In this paper the unique solvability of regular hypoelliptic equations in multianisotropic weighted functional spaces is proved by means of special integral representation of functions through a regular operator. The existence of the solutions is proved by constructing approximate solutions using multianisotropic integral operators.
PubDate: 2018-07-01
DOI: 10.3103/S1068362318040015

• Method of Moments Estimators and Multi–step MLE for Poisson
Processes
• Abstract: Abstract We introduce two types of estimators of the finite–dimensional parameters in the case of observations of inhomogeneous Poisson processes. These are the estimators of the method of moments and Multi–step MLE. It is shown that the estimators of the method of moments are consistent and asymptotically normal and the Multi–step MLE are consistent and asymptotically efficient. The construction of Multi–step MLE–process is done in two steps. First we construct a consistent estimator by the observations on some learning interval and then this estimator is used for construction of One–step and Two–step MLEs. The main advantage of the proposed approach is its computational simplicity.
PubDate: 2018-07-01
DOI: 10.3103/S1068362318040064

• A One–parameter Family of Bounded Solutions for a System of Nonlinear
Integral Equations on the Whole Line
• Abstract: Abstract A system of nonlinear integral equations with a convolution type operator arising in the p–adic string theory for the scalar tachyons field is studied. The existence of a one–parameter family of monotone continuous and bounded solutions for this system is proved. The limits of the constructed solutions at ±∞ are calculated.
PubDate: 2018-07-01
DOI: 10.3103/S1068362318040027

• On Dirichlet Type Spaces A ω 2 Over the Half–Plane
• Abstract: Abstract Some extensions of the results of the first author related with the Hilbert spaces A ω,0 2 of functions holomorphic in the half–plane are proved. Some new Hilbert spaces A ω 2 of Dirichlet type are introduced, which are included in the Hardy space H2 over the half–plane. Several results on representations, boundary properties, isometry, interpolation, biorthogonal systems and bases are obtained for the spaces A ω 2 ⊂ H2.
PubDate: 2018-07-01
DOI: 10.3103/S1068362318040039

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