A note on harmonic quasiconformal mappings

被引：5
|
作者：
Chen, Xingdi [1 ]
Fang, Ainong [2 ]
机构：
[1] Huaqiao Univ, Dept Math, Quanzhou 362021, Fujian, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 348卷 / 02期
关键词：
harmonic mappings; quasiconformal mappings; harmonic quasiconformal mappings;
D O I：
10.1016/j.jmaa.2008.07.066
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we show that a harmonic quasiconformal mapping f = u + iv with respect to the Poincare metric of the upper half plane R-+(2) onto itself such that v(x, y) = v(y) or u(x, y) = u(x) is a conformal mapping. (C) 2008 Elsevier Inc. All rights reserved.
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页码：607 / 613
页数：7
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