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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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