Harmonic quasiconformal mappings between C1 smooth Jordan domains

• David Kalaj ^[1]
  1. [1] University of Montenegro

     University of Montenegro

     Montenegro

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 1, 2022, págs. 95-111
• Idioma: inglés
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• Resumen

  • We prove the following result. If f is a harmonic quasiconformal mapping between two Jordan domains D and Ω having C1 boundaries, then the function f is globally Hölder continuous for every α<1 but it is not necessarily Lipschitz in general. This result extends and improves a classical theorem of S. Warschawski for conformal mappings.