On boundary Hölder logarithmic continuity of mappings in some domains

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2024-04-10 DOI:10.1007/s10474-024-01419-w

O. Dovhopiatyi, E. Sevost’yanov

引用次数: 0

Abstract

We study mappings satisfying some estimate of distortion of modulus of families of paths. Under some conditions on definition and mapped domains, we prove that these mappings are logarithmic Hölder continuous at boundary points.

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论某些域中映射的边界荷尔德对数连续性

我们研究的映射满足对路径族模量扭曲的某种估计。在定义和映射域的某些条件下，我们证明这些映射在边界点是对数荷尔德连续的。

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

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.