On the theory of generalized quasiconformal mappings

Vladimir Gol’dshtein; Evgeny Sevost’yanov; Alexander Ukhlov

doi:10.1007/s40627-023-00128-4

On the theory of generalized quasiconformal mappings

Vladimir Gol’dshtein
, Evgeny Sevost’yanov
, Alexander Ukhlov

Department of Mathematics

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

1 Scopus citations

Abstract

We study generalized quasiconformal mappings in the context of the inverse Poletsky inequality. We consider the local behavior and the boundary behavior of mappings with the inverse Poletsky inequality. In particular, we obtain logarithmic Hölder continuity for such classes of mappings.

Original language	English
Article number	2
Journal	Complex Analysis and its Synergies
Volume	10
Issue number	1
DOIs	https://doi.org/10.1007/s40627-023-00128-4
State	Published - 1 Mar 2024

Keywords

Quasiconformal mappings
Sobolev spaces

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Numerical Analysis

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10.1007/s40627-023-00128-4

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title = "On the theory of generalized quasiconformal mappings",

abstract = "We study generalized quasiconformal mappings in the context of the inverse Poletsky inequality. We consider the local behavior and the boundary behavior of mappings with the inverse Poletsky inequality. In particular, we obtain logarithmic H{\"o}lder continuity for such classes of mappings.",

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author = "Vladimir Gol{\textquoteright}dshtein and Evgeny Sevost{\textquoteright}yanov and Alexander Ukhlov",

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AU - Gol’dshtein, Vladimir

AU - Sevost’yanov, Evgeny

AU - Ukhlov, Alexander

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N2 - We study generalized quasiconformal mappings in the context of the inverse Poletsky inequality. We consider the local behavior and the boundary behavior of mappings with the inverse Poletsky inequality. In particular, we obtain logarithmic Hölder continuity for such classes of mappings.

AB - We study generalized quasiconformal mappings in the context of the inverse Poletsky inequality. We consider the local behavior and the boundary behavior of mappings with the inverse Poletsky inequality. In particular, we obtain logarithmic Hölder continuity for such classes of mappings.

KW - Quasiconformal mappings

KW - Sobolev spaces

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DO - 10.1007/s40627-023-00128-4

M3 - Article

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On the theory of generalized quasiconformal mappings

Abstract

Keywords

ASJC Scopus subject areas

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