On the extremal sets of extremal quasiconformal mappings

被引：5
|
作者：
Zhou, ZM [1 ]
Chen, JX
Yang, ZX
机构：
[1] Peking Univ, Sch Math, Beijing 100871, Peoples R China
[2] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
[3] Fudan Univ, Math Inst, Shanghai 200433, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2003年 / 46卷 / 04期
关键词：
extremal quasiconformal mapping; uniquely extremal quasiconformal mapping; extremal set; admissible variation;
D O I：
10.1360/03ys9056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The properties of the extremal sets of extremal quasiconformal mappings are discussed. It is proved that if an extremal Beltrami coefficient mu(z) is not uniquely extremal, then there exists an extremal Beltrami coefficient v(z) in its equivalent class and a compact subset E subset of Delta with positive measure such that the essential upper bound of v(z) on E is less than the norm of [mu].
引用
收藏
页码：552 / 561
页数：10
相关论文
共 50 条
12345