On the functional properties of weak (p, q)-quasiconformal homeomorphisms

Vladimir Gol’dshtein; Alexander Ukhlov

doi:10.1007/s10958-020-04719-y

On the functional properties of weak (p, q)-quasiconformal homeomorphisms

Vladimir Gol’dshtein, Alexander Ukhlov

Department of Mathematics

Ben-Gurion University of the Negev

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

Abstract

We study the functional properties of weak (p, q)-quasiconformal homeomorphisms such as Liouville-type theorems, the global integrability, and the Hölder continuity. The proof of Liouville-type theorems is based on the duality property of weak (p, q)-quasiconformal homeomorphisms.

Original language	American English
Pages (from-to)	18-29
Number of pages	12
Journal	Journal of Mathematical Sciences
Volume	246
Issue number	1
DOIs	https://doi.org/10.1007/s10958-020-04719-y
State	Published - 1 Apr 2020

Keywords

Quasiconformal mappings
Sobolev spaces

All Science Journal Classification (ASJC) codes

Applied Mathematics
Statistics and Probability
General Mathematics

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10.1007/s10958-020-04719-y

Cite this

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abstract = "We study the functional properties of weak (p, q)-quasiconformal homeomorphisms such as Liouville-type theorems, the global integrability, and the H{\"o}lder continuity. The proof of Liouville-type theorems is based on the duality property of weak (p, q)-quasiconformal homeomorphisms.",

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KW - Sobolev spaces

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On the functional properties of weak (p, q)-quasiconformal homeomorphisms

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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