A counterexample theorem in quasiconformal mapping theory

被引：0

作者：

沈玉良

机构：

[1] Department of Mathematics

[2] Suzhou University

[3] Suzhou

来源：

ScienceinChina,SerA. | 2000年 / Ser.A.2000卷 / 09期

关键词：

D O I：

暂无

中图分类号：

O157.5 [图论];

学科分类号：

摘要：

<正> Given a quasisymmetric homeomorphism h of the unit circle onto itself, denote by Kh* , Hh and Kh the extremal maximal dilatation, boundary dilatation and maximal dilatation of h, respectively. It is proved that there exists a family of quasisymmetric homeomoiphisms h such that Kh < Hh = Kh* . This gives a negative answer to a problem asked independently by Wu and Yang. Furthermore, some related topics are also discussed.

引用

页码：929 / 936

页数：8

共 8 条

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