Riemann problem for multiply connected domain in Besov spaces

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-06-05 DOI:10.1186/s13661-024-01883-x

Nazarbay Bliev, Nurlan Yerkinbayev

引用次数: 0

Abstract

In this paper, we obtain conditions of the solvability of the Riemann boundary value problem for sectionally analytic functions in multiply connected domains in Besov spaces embedded into the class of continuous functions. We indicate a new class of Cauchy-type integrals, which are continuous on a closed domain with continuous (not Hölder) density in terms of Besov spaces, and for which the Sokhotski–Plemelj formulas are valid.

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贝索夫空间多连通域的黎曼问题

在本文中，我们获得了嵌入连续函数类的贝索夫空间中多重连接域的截面解析函数的黎曼边界值问题的可解性条件。我们指出了一类新的 Cauchy 型积分，它们在封闭域上是连续的，具有连续（而非霍尔德）密度的 Besov 空间，而且 Sokhotski-Plemelj 公式对其有效。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.