On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends

Ilkevych, N. S., Sevost’yanov, Е. А., Ukhlov, Aleksandr (2024) On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends. Complex Analysis and Operator Theory, 18 (4). ISSN 1661-8254

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Abstract

We study mappings satisfying the inverse Poletsky type inequality with respect to a non-conformal modulus. It was prove that such mappings, with some additional conditions, have a continuous extension to the boundary in terms of prime ends and form equicontinuous families of mappings.

Item Type: Article
Subjects: Q Science > QA Mathematics > Mathematical Analysis
Depositing User: Євген Севостьянов
Date Deposited: 09 Jun 2024 13:32
Last Modified: 09 Jun 2024 13:32
URI: http://eprints.zu.edu.ua/id/eprint/39965

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