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On boundary Hölder logarithmic continuity of map**s in some domains
We study map**s satisfying some estimate of distortion of modulus of families of paths. Under some conditions on definition and mapped domains, we...
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Weighted estimates for operators of fractional integration of variable order in generalized variable Hölder spaces
The paper is devoted to weighted estimates for operators of fractional integration of variable order of Bergman type in generalized variable Hölder...
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Asymptotic Properties of the Solutions of Higher-Order Differential Equations on Generalized Hölder Classes
Some asymptotic properties of the solutions to elliptic-type differential equations are analyzed using the methods of approximation theory. The...
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Titchmarsh Theorems for Hölder-Lipschitz Functions on Profinite Groups
In this short note, we provide an extension to metrizable profinite groups of the classical theorems of Titchmarsh on the Fourier transform of...
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Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions
We introduce and study the variable generalized Hölder spaces of holomorphic functions over the unit disc in the complex plane. These spaces are...
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On approximation by Abel–Poisson and conjugate Abel–Poisson means in Hölder metric
The degree of approximation (in Hölder metric) of a periodic function belonging to a specific Hölder class by its Abel–Poisson means of Fourier...
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On approximation of functions from Hölder classes by biharmonic Poisson integrals defined in the upper half-plane
The paper investigates the approximate properties of biharmonic Poisson integrals for the upper half-plane on the classes of Hölder functions in the...
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Classes of Kernels and Continuity Properties of the Double Layer Potential in Hölder Spaces
We prove the validity of regularizing properties of the boundary integral operator corresponding to the double layer potential associated to the...
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Hölder Parameterization of Continuous Quasi-Self-Contracted Curves in Complete Geodesic Spaces
In this paper, we introduce the notion of quasi-self-contracted curves (QSC curves for short) in metric spaces. It is a natural generalization of the...
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A New Unified Method for Boundary Hölder Continuity of Parabolic Equations
In a recent work due to Lian et al., the authors proposed new geometric conditions to study the pointwise boundary Hölder regularity for kinds of...
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Elementary construction of Hölder functions such that the Kurzweil-Stieltjes integral does not exist
For any α, β > 0 with α + β < 1 we provide a simple construction of an α -Hölde function f : [0, 1] → ℝ and a β -Hölder function g : [0, 1] → ℝ such that...
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Higher Hölder regularity for nonlocal parabolic equations with irregular kernels
We study a nonlocal parabolic equation with an irregular kernel coefficient to establish higher Hölder regularity under an appropriate higher...
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Universal heavy-ball method for nonconvex optimization under Hölder continuous Hessians
We propose a new first-order method for minimizing nonconvex functions with Lipschitz continuous gradients and Hölder continuous Hessians. The...
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Titchmarsh theorems for Hölder-Lipschitz functions on profinite groups
In this note we extend to metrizable profinite groups the classical theorems of Titchmarsh on the Fourier transform of Hölder-Lipschitz functions....