On Equicontinuous Families of Mappings of Metric Spaces

被引：0
|
作者：
Sevost'yanov, E. A. [1 ,2 ]
Skvortsov, S. O. [1 ]
Petrov, E. A. [2 ]
机构：
[1] I Franko Zhytomyr State Univ, Zhytomyr, Ukraine
[2] Natl Acad Sci Ukraine, Inst Appl Math & Mech, Slovyansk, Ukraine
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2021年 / 72卷 / 10期
关键词：
D O I：
10.1007/s11253-021-01877-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain analogs of the results on equicontinuity of families of quasiregular mappings that take no values from a fixed continuum. We prove that these families are equicontinuous whenever the quasiconformality characteristics of the mappings have finite mean oscillation at every inner point. In this context, we also prove the equicontinuity of generalized quasiisometries of Riemannian manifolds.
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页码：1634 / 1649
页数：16
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