On the continuity of harmonically conjugated functions in the Jordan domains

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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Bibliographic Details
Date:1992
Main Authors: Pritsker, I. E., Прицкер, И. Е.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8238
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary: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.