ON THE GLOBAL BEHAVIOR OF INVERSE MAPPINGS IN TERMS OF PRIME ENDS

被引：6
作者：
Ilkevych, Nataliya [1 ]
Sevost'yanov, Evgeny [1 ,2 ]
Skvortsov, Sergei [1 ]
机构：
[1] Zhytomyr Ivan Franko State Univ, 40 Bolshaya Berdichevskaya Str, UA-10008 Zhytomyr, Ukraine
[2] NAS Ukraine, Inst Appl Math & Mech, 1 Dobrovolskogo Str, UA-84100 Slavyansk, Ukraine
来源：
ANNALES FENNICI MATHEMATICI | 2021年 / 46卷 / 01期
关键词：
Mappings with a finite and bounded distortion; boundary behaviour; prime ends;
D O I：
10.5186/aasfm.2021.4630
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper is devoted to the study of mappings with finite distortion, actively studied recently. For mappings whose inverse satisfy the Poletsky inequality, the results on boundary behavior in terms of prime ends are obtained. In particular, it was proved that the families of the indicated mappings are equicontinuous at the points of the boundary if a certain function determining the distortion of the modulus of families of paths under the mappings is integrable.
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收藏
页码：371 / 388
页数：18
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