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On the equicontinuity of one family of inverse mappings in terms of prime ends

For a class of mappings satisfying upper modular estimates with respect to families of curves, we study the behavior of the corresponding inverse mappings. In the terms of prime ends, we prove that the families of these homeomorphisms are equicontinuous (normal) in the closure of a given domain.

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Bibliographic Details
Date:	2018
Main Authors:	Salimov, R. R., Sevost'yanov, E. A., Салимов, Р. Р., Севостьянов, Е. А.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2018
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1632
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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