On Locally Quasiconformal Mappings

被引：0

作者：

Ze Min ZHOU ^{[1
]}

机构：

[1] Department of Mathematics,Renmin University of China

来源：

Acta Mathematica Sinica,English Series | 2013年 / 08期

基金：

中国国家自然科学基金;

关键词：

Homeomorphism; quasiconformal mapping; locally quasiconformal mapping; directional dilatation;

D O I：

暂无

中图分类号：

O174.55 [拟共形映射（拟保角变换）、拟解析函数、广义解析函数];

学科分类号：

070104 ;

摘要：

A homeomorphism w=f(z) of a domain D is called a locally quasiconformal mapping, if for each subdomain D’ of D with ’D, the restriction of f(z) on D’ is a quasiconformal mapping. We give some conditions for a measurable function μ(z) on the unit disc to be the complex dilatation of a locally quasiconformal mapping f which can be homeomorphically extended to the closed unit disc.

引用

页码：1543 / 1554

页数：12

共 5 条

[1] μ(z)-homeomorphisms in the plane [J].