PARAMETRIC REPRESENTATIONS OF QUASICONFORMAL MAPPINGS

被引：0

作者：

Lin, Zhenlian ^{[1
]}

Shi, Qingtian ^{[2
]}

机构：

[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China

[2] Quanzhou Normal Univ, Sch Math & Comp Sci, Quanzhou 362000, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2020年 / 40卷 / 06期

基金：

中国国家自然科学基金;

关键词：

quasiconformal mapping; Sigma(0)(K); parametric representation; area distortion theorem; Cauchy transformation; AREA DISTORTION; INEQUALITIES;

D O I：

10.1007/s10473-020-0616-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we first give two simple examples to illustrate that two types of parametric representation of the family of Sigma(0)(K) have some gaps. Then we also find that the area derivative formula (1.6), which is used to estimate the area distortion of Sigma(0)(K), cannot be derived from [6], but that formula still holds for Sigma(0)(K) through our amendatory parametric representation for the one obtained by Eremenko and Hamilton.

引用

页码：1874 / 1882

页数：9

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