Quasiconformal, Lipschitz, and BV mappings in metric spaces

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：
ADVANCES IN CALCULUS OF VARIATIONS | 2024年 / 17卷 / 03期
关键词：
Quasiconformal mapping; Newton-Sobolev mapping; function of bounded variation; generalized distortion number; generalized Lipschitz number; LINEAR DILATATION; BOUNDED VARIATION; HOMEOMORPHISMS; DIFFERENTIABILITY;
D O I：
10.1515/acv-2022-0071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider a mapping f : X -> Y between two metric measure spaces. We study generalized versions of the local Lipschitz number Lip f, as well as of the distortion number H(f )that is used to define quasiconformal mappings. Using these numbers, we give sufficient conditions for f being a BV mapping f is an element of BVloc(X; Y) or a Newton-Sobolev mapping f is an element of N-loc(1,p)(X; Y), with 1 <= p < infinity.
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页码：855 / 879
页数：25
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