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Continuity of harmonically conjugate functions in Jordan domains

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Abstract

We study sufficient conditions for the continuity of harmonically conjugate functions in dependence of the geometrical structure of various classes of Jordan domains. The results obtained are generalizations of the well-known Dini continuity condition for functions on the disk.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Science, Donetsk

    I. E. Pritsker

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  1. I. E. Pritsker
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 10, pp. 1402–1405, October, 1992.

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Pritsker, I.E. Continuity of harmonically conjugate functions in Jordan domains. Ukr Math J 44, 1288–1291 (1992). https://doi.org/10.1007/BF01057687

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  • DOI: https://doi.org/10.1007/BF01057687

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