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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Datum:2018
Hauptverfasser: Salimov, R. R., Sevost'yanov, E. A., Салимов, Р. Р., Севостьянов, Е. А.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1632
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal