Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale

Kari Astala, Marti Prats Soler, Eero Saksman

Research output: Contribution to journalArticleScientific

Abstract

We give sufficient conditions for quasiconformal mappings between simply connected Lipschitz domains to have Hölder, Sobolev and Triebel-Lizorkin regularity in terms of the regularity of the boundary of the domains and the regularity of the Beltrami coefficients of the mappings. The results can be understood as a counterpart for the Kellogg-Warchawski Theorem in the context of quasiconformal mappings.
Original languageEnglish
JournalarXiv.org
Publication statusIn preparation - 2020
MoE publication typeB1 Article in a scientific magazine

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