On Quasiconformal Harmonic Surfaces with Rectifiable Boundary

被引：0

作者：

D. Kalaj

M. Mateljević

机构：

[1] University of Montenegro,Faculty of Natural Sciences and Mathematics

[2] University of Belgrade,Faculty of Mathematics

来源：

Complex Analysis and Operator Theory | 2011年 / 5卷

关键词：

Quasiconformal maps; Harmonic surfaces; Rectifiable boundary; Primary 30C65; Secondary 31B05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

It is proved that every quasiconfomal harmonic mapping of the unit disk onto a surface with rectifiable boundary has absolutely continuous extension to the boundary as well as its inverse mapping has this property. In addition it is proved an isoperimetric type inequality for the class of these surfaces. These results extend some classical results for conformal mappings, minimal surfaces and surfaces with constant mean curvature treated by Kellogg, Courant, Nitsche, Tsuji, F. Riesz and M. Riesz, etc.

引用

页码：633 / 646

页数：13

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