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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Datum:1992
Hauptverfasser: Pritsker, I. E., Прицкер, И. Е.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1992
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/8238
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal