On Orlicz–Sobolev Classes on Quotient Spaces

被引：0
|
作者：
Sevost’yanov E.A. [1 ,2 ]
机构：
[1] Zhytomyr Ivan Franko State University, Zhytomyr
[2] Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slavyansk
来源：
Siberian Advances in Mathematics | 2021年 / 31卷 / 3期
关键词：
local and boundary behavior of mappings; mappings with finite and bounded distortion; moduli of families of curves;
D O I：
10.1134/S1055134421030044
中图分类号：
学科分类号：
摘要：
Abstract: We study the quotient spaces of the unit ball by some group of Möbiustransformations. For mappings of such spaces, we obtain a bound for the distortion of a modulusof a family of spheres. As an application, we prove theorems on the local and boundary behaviorof Orlicz–Sobolev classes on the quotient spaces. © 2021, Pleiades Publishing, Ltd.
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页码：209 / 228
页数：19
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