Extension of planar Hölder homeomorphisms

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2024-08-17 DOI:10.1112/jlms.12970

Stanislav Hencl, Aleksis Koski

引用次数: 0

Abstract

Let $α \in (0, 1)$ . We show that any $α$ -Hölder homeomorphism from the unit circle in the plane to the plane can be extended to an $α$ -Hölder homeomorphism from the whole unit disc.

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平面赫尔德同构的扩展

让 α∈( 0 , 1 ) $\alpha \in (0,1)$ 。我们证明，任何从平面内单位圆到平面的 α $\alpha$ -Hölder 同构都可以扩展为从整个单位圆盘的 α $\alpha$ -Hölder 同构。

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

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.