On the boundary behavior of weak (p; q)-quasiconformal mappings

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

doi:10.1007/s10958-023-06355-8

On the boundary behavior of weak (p; q)-quasiconformal mappings

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

Department of Mathematics

Ben-Gurion University of the Negev

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

Abstract

Let Ω and Ω ˜ be domains in the Euclidean space ℝⁿ. We study the boundary behavior of weak (p, q)-quasiconformal mappings φ : Ω → Ω ˜ , n – 1 < q ≤ p < n. The suggested method is based on the capacitary distortion properties of the weak (p, q)-quasiconformal mappings.

Original language	American English
Pages (from-to)	420-427
Number of pages	8
Journal	Journal of Mathematical Sciences
Volume	270
Issue number	3
DOIs	https://doi.org/10.1007/s10958-023-06355-8
State	Published - 1 Feb 2023

Keywords

Quasiconformal mappings
Sobolev spaces

All Science Journal Classification (ASJC) codes

Applied Mathematics
Statistics and Probability
General Mathematics

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10.1007/s10958-023-06355-8

Cite this

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abstract = "Let Ω and Ω ˜ be domains in the Euclidean space ℝn. We study the boundary behavior of weak (p, q)-quasiconformal mappings φ : Ω → Ω ˜ , n – 1 < q ≤ p < n. The suggested method is based on the capacitary distortion properties of the weak (p, q)-quasiconformal mappings.",

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AU - Sevost’yanov, Evgeny

AU - Ukhlov, Alexander

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N2 - Let Ω and Ω ˜ be domains in the Euclidean space ℝn. We study the boundary behavior of weak (p, q)-quasiconformal mappings φ : Ω → Ω ˜ , n – 1 < q ≤ p < n. The suggested method is based on the capacitary distortion properties of the weak (p, q)-quasiconformal mappings.

AB - Let Ω and Ω ˜ be domains in the Euclidean space ℝn. We study the boundary behavior of weak (p, q)-quasiconformal mappings φ : Ω → Ω ˜ , n – 1 < q ≤ p < n. The suggested method is based on the capacitary distortion properties of the weak (p, q)-quasiconformal mappings.

KW - Quasiconformal mappings

KW - Sobolev spaces

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M3 - Article

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JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 3

ER -

On the boundary behavior of weak (p; q)-quasiconformal mappings

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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