On equicontinuity of families of mappings with one normalization condition by the prime ends

UDC 517.5 We study mappings with branching that satisfy certain conditions of distortion for the modulus of paths families. Under the conditions that the domain of definition of mappings has a weakly flat boundary, the mapped domain is regular, and the majorant responsible for the distortion of modu...

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Bibliographic Details
Date:2022
Main Authors: Ilkevych, N. S., Sevost’yanov , E. A., Ількевич, Наталія, Севостьянов, Євген Олександрович, Ількевич, Н. С., Севостьянов, Є. О.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2022
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6887
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal