|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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