Harmonic quasiconformal mappings between smooth Jordan domains
David Kalaj
University of Montenegro, Podgorica, Montenegro
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Abstract
We prove the following result. If is a harmonic quasiconformal mapping between two Jordan domains and having boundaries, then the function is globally Hölder continuous for every but it is not necessarily Lipschitz in general. This result extends and improves a classical theorem of S. Warschawski for conformal mappings.
Cite this article
David Kalaj, Harmonic quasiconformal mappings between smooth Jordan domains. Rev. Mat. Iberoam. 38 (2022), no. 1, pp. 95–111
DOI 10.4171/RMI/1272