Parametric Representations of Quasiconformal Mappings

被引：0
作者：
Zhenlian Lin
Qingtian Shi
机构：
[1] Huaqiao University,School of Mathematical Sciences
[2] Quanzhou Normal University,School of Mathematics and Computer Science
来源：
Acta Mathematica Scientia | 2020年 / 40卷
关键词：
quasiconformal mapping; Σ; parametric representation; area distortion theorem; Cauchy transformation; 30C62; 30C75; 31A10;
D O I：
暂无
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学科分类号：
摘要：
In this article, we first give two simple examples to illustrate that two types of parametric representation of the family of ΣK0 have some gaps. Then we also find that the area derivative formula (1.6), which is used to estimate the area distortion of ΣK0, cannot be derived from [6], but that formula still holds for ΣK0 through our amendatory parametric representation for the one obtained by Eremenko and Hamilton.
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页码：1874 / 1882
页数：8
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