On continuous extension to the boundary of a domain of the Cauchy-type integral with parameter-dependent density

• Datum: 2024
• Hauptverfasser: Plaksa, S., Плакса, Сергей Анатольевич, Плакса, Cергій
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2024
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/7849
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.54 We establish sufficient conditions for the continuous extension of a Cauchy-type integral whose density depends on the parameter to a nonsmooth integration line.