Extension of planar Hölder homeomorphisms

Fuente: arXiv
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Main Authors: Hencl, Stanislav, Koski, Aleksis
Format: Preprint
Published: 2023
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author Hencl, Stanislav
Koski, Aleksis
author_facet Hencl, Stanislav
Koski, Aleksis
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2306_03958
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Extension of planar Hölder homeomorphisms
Hencl, Stanislav
Koski, Aleksis
Complex Variables
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.
title Extension of planar Hölder homeomorphisms
topic Complex Variables
url https://arxiv.org/abs/2306.03958