Topological mappings of finite area distortion

被引：5
|
作者：
Afanas'eva, Elena [1 ]
Golberg, Anatoly [2 ]
机构：
[1] NAS Ukraine, Inst Appl Math & Mech, 1 Dobrovolskogo St, UA-84100 Slavyansk, Ukraine
[2] Holon Inst Technol, Dept Math, 52 Golomb St,POB 305, IL-5810201 Holon, Israel
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2022年 / 12卷 / 02期
关键词：
Riemannian manifolds; Mappings of finite area distortion; Finitely bi-Lipschitz homeomorphisms; Quasisymmetry; Quasiconformality; Quasimobius mappings; Q-homeomorphisms; Moduli of families of curves and surfaces; Boundary behavior of FAD-homeomorphisms; Sobolev classes; Absolute continuity; MAPS; CONTINUITY; SPACES;
D O I：
10.1007/s13324-022-00666-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the interplay of mappings of finite area distortion (FAD) with finitely bi-Lipschitz mappings, ring and lower Q-homeomorphisms, and absolutely continuous homeomorphisms of the class AC(Lambda)(n,p) on Riemannian manifolds. Some additional relations to the hyper Q-homeomorphisms, eta-quasisymmetric and omega-quasimobius mappings are also established. As applications of the above results, we provide several extension conditions to the weakly flat and strongly accessible boundaries under FAD-homeomorphisms.
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页数：29
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