Hölder continuity of harmonic quasiconformal mappings

被引：0

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.;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

共 15 条

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