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

页数：25

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