On the unique extremality of quasiconformal mappings with dilatation bounds

被引：0
作者：
Shen, YL [1 ]
机构：
[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
TOHOKU MATHEMATICAL JOURNAL | 2004年 / 56卷 / 01期
关键词：
quasiconformal mapping; beltrami differential; uniquely extremal; uniquely infinitesimally extremal;
D O I：
10.2748/tmj/1113246383
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Concerning the problem of extremality of quasiconformal mappings with dilatation bounds. we discuss the unique extremality of the problem and prove the if part of a conjecture on the unique extremality ([G1], [R1]). To this end, we need to investigate a new extremal problem in the infinitesimal setting. In particular, we give a complete description of the unique infinitesimal extremality of partially zero Beltrami differentials.
引用
收藏
页码：105 / 123
页数：19
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