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

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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 Hölder continuity. The proof of Liouville-type theorems is based on the duality property of weak (p, q)-quasiconformal homeomorphisms.

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Authors and Affiliations

  1. Department of Mathematics Ben–Gurion University of the Negev, Beer-Sheva, Israel

    Vladimir Gol’dshtein & Alexander Ukhlov

Authors
  1. Vladimir Gol’dshtein
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  2. Alexander Ukhlov
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Corresponding author

Correspondence to Vladimir Gol’dshtein.

Additional information

The paper is dedicated to the 100th anniversary of G. D. Suvorov

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 16, No. 3, pp. 329–344 July–September, 2019.

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Gol’dshtein, V., Ukhlov, A. On the functional properties of weak (p, q)-quasiconformal homeomorphisms. J Math Sci 246, 18–29 (2020). https://doi.org/10.1007/s10958-020-04719-y

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  • DOI: https://doi.org/10.1007/s10958-020-04719-y

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