Authors: Arsenović, Miloš
Todorčević, Vesna 
Vuorinen, Matti
Title: Hölder continuity of harmonic quasiconformal mappings
Journal: Journal of Inequalities and Applications
Volume: 2011
Issue Date: 1-Dec-2011
Rank: M21
ISSN: 1029-242X
DOI: 10.1186/1029-242X-2011-37
Abstract: 
We prove that for harmonic quasiconformal mappings α-Hölder continuity on the boundary implies α-Hölder continuity of the map itself. Our result holds for the class of uniformly perfect bounded domains, in fact we can allow that a portion of the boundary is thin in the sense of capacity. The problem for general bounded domains remains open.
Keywords: Hölder continuity | Harmonic mappings | Quasi-conformal maps
Publisher: Springer Link
Project: Ministry of Science, Serbia, project M144010
Methods of Functional and Harmonic Analysis and PDE with Singularities 
Academy of Finland, project 2600066611

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