Extension of planar Hölder homeomorphisms

Stanislav Hencl, Aleksis Koski*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-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 languageEnglish
Article numbere12970
JournalJournal of the London Mathematical Society
Volume110
Issue number3
DOIs
Publication statusPublished - Sept 2024
MoE publication typeA1 Journal article-refereed

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  • Koski Aleksis AT: Geometriset metodit elastisuudessa

    Koski, A. (Principal investigator) & Jussinmäki, A. (Project Member)

    01/09/202331/08/2027

    Project: Academy of Finland: Other research funding

  • QUAMAP: Quasiconformal Methods in Analysis and Applications

    Astala, K. (Principal investigator), Prats Soler, M. (Project Member) & Lindberg, S. (Project Member)

    27/08/201930/04/2021

    Project: EU: ERC grants

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