Finely quasiconformal mappings

被引：0
|
作者：
Lahti, Panu [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2024年
关键词：
finely open set; quasiconformal mapping; Sobolev mapping; capacity; fine differentiability; HOMEOMORPHISMS; DILATATION; CONTINUITY;
D O I：
10.1017/prm.2024.135
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a relaxed version of the metric definition of quasiconformality that is natural also for mappings of low regularity, including W-loc(1,1) (R-n; R-n )-mappings. Then we show on the plane that this relaxed definition can be used to prove Sobolev regularity, and that these 'finely quasiconformal' mappings are in fact quasiconformal.
引用
收藏
页数：25
相关论文
共 50 条
12345