Extension of planar Hölder homeomorphisms

Stanislav Hencl; Aleksis Koski

doi:10.1112/jlms.12970

Extension of planar Hölder homeomorphisms

Stanislav Hencl, Aleksis Koski^*

^*Corresponding author for this work

Charles University

Research output: Contribution to journal › Article › Scientific › peer-review

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Abstract

Let (Formula presented.). We show that any (Formula presented.) -Hölder homeomorphism from the unit circle in the plane to the plane can be extended to an (Formula presented.) -Hölder homeomorphism from the whole unit disc.

Original language	English
Article number	e12970
Journal	Journal of the London Mathematical Society
Volume	110
Issue number	3
DOIs	https://doi.org/10.1112/jlms.12970
Publication status	Published - Sept 2024
MoE publication type	A1 Journal article-refereed

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10.1112/jlms.12970Licence: CC BY

Extension of planar Hölder homeomorphismsFinal published version, 1.15 MBLicence: CC BY

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title = "Extension of planar H{\"o}lder homeomorphisms",

abstract = "Let (Formula presented.). We show that any (Formula presented.) -H{\"o}lder homeomorphism from the unit circle in the plane to the plane can be extended to an (Formula presented.) -H{\"o}lder homeomorphism from the whole unit disc.",

author = "Stanislav Hencl and Aleksis Koski",

note = "Publisher Copyright: {\textcopyright} 2024 The Author(s). The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",

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AB - Let (Formula presented.). We show that any (Formula presented.) -Hölder homeomorphism from the unit circle in the plane to the plane can be extended to an (Formula presented.) -Hölder homeomorphism from the whole unit disc.

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Extension of planar Hölder homeomorphisms

Abstract

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Koski Aleksis AT: Geometriset metodit elastisuudessa

QUAMAP: Quasiconformal Methods in Analysis and Applications

Cite this

Extension of planar Hölder homeomorphisms

Abstract

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Fingerprint

Projects

Koski Aleksis AT: Geometriset metodit elastisuudessa

QUAMAP: Quasiconformal Methods in Analysis and Applications

Cite this