On the continuity of harmonically conjugated functions in the Jordan domains

• Дата: 1992
• Автори: Pritsker, I. E., Прицкер, И. Е.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1992
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/8238
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.