Removability theorems for Sobolev functions and quasiconformal maps

被引：43
|
作者：
Jones, PW
Smirnov, SK
机构：
[1] Yale Univ, Dept Math, New Haven, CT 06520 USA
[2] Royal Inst Technol, Dept Math, SE-10044 Stockholm, Sweden
来源：
ARKIV FOR MATEMATIK | 2000年 / 38卷 / 02期
关键词：
D O I：
10.1007/BF02384320
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish several conditions, sufficient for a set to be (quasi) conformally removable, a property important in holomorphic dynamics. This is accomplished by proving removability theorems for Sobolev spaces in R-n. The resulting conditions are close to optimal.
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页码：263 / 279
页数：17
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