On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends

Nataliya Ilkevych; Evgeny Sevost’yanov; Alexander Ukhlov

doi:10.1007/s11785-024-01544-y

On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends

Nataliya Ilkevych, Evgeny Sevost’yanov, Alexander Ukhlov

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Article number	102
Journal	Complex Analysis and Operator Theory
Volume	18
Issue number	4
DOIs	https://doi.org/10.1007/s11785-024-01544-y
State	Published - 1 May 2024

Keywords

Muduli inequalities
Prime ends
Quasiconformal mappings
Sobolev spaces

All Science Journal Classification (ASJC) codes

Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s11785-024-01544-y

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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.",

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AU - Sevost’yanov, Evgeny

AU - Ukhlov, Alexander

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Y1 - 2024/5/1

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KW - Prime ends

KW - Quasiconformal mappings

KW - Sobolev spaces

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On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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