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.
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页数：25
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