Hölder continuity of harmonic quasiconformal mappings

被引：0
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作者：
Miloš Arsenović
Vesna Manojlović
Matti Vuorinen
机构：
[1] University of Belgrade,Department of Mathematics
[2] University of Belgrade,Faculty of Organizational Sciences
[3] University of Turku,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2011卷
关键词：
quasi-conformal maps; harmonic mappings; Hölder continuity.;
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摘要：
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.
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