On the extremal sets of extremal quasiconformal mappings

被引：0
|
作者：
Zemin Zhou
Jixiu Chen
Zongxin Yang
机构：
[1] Peking University,School of Mathematics
[2] Fudan University,Department of Mathematics
[3] Fudan University,Institute of Mathematics
来源：
Science in China Series A: Mathematics | 2003年 / 46卷 / 4期
关键词：
extremal quasiconformal mapping; uniquely extremal quasiconformal mapping; extremal set; admissible variation;
D O I：
10.1007/BF02884027
中图分类号：
学科分类号：
摘要：
The properties of the extremal sets of extremal quasiconformal mappings are discussed. It is proved that if an extremal Beltrami coefficient μ(z) is not uniquely extremal, then there exists an extremal Beltrami coefficient ?(z) in its equivalent class and a compact subset E ⊂ △ with positive measure such that the essential upper bound of ?(z) on E is less than the norm of [μ].
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页码：552 / 561
页数：9
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