On local properties of singular integral

• Date: 2023
• Main Authors: Mamedkhanov, J. I., Jafarov, S. Z.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6959
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 Let $\gamma$ be a regular curve. We study the local properties of singular integrals in the $H_{\alpha }^{\alpha +\beta }(t_{0},\gamma)$ class of functions. We obtain a strengthening of the Plemelj\–Privalov theorem for functions from the class...