On the modulus of continuity of solid derivatives of a Cauchy-type integral

• Date: 1998
• Main Authors: Gerus, O. F., Герус, О. Ф.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4917
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish sufficient conditions for the existence of solid derivatives of a continuous extension of a Cauchy-type integral onto the closure of a domain and obtain an estimate for the moduli of continuity of these derivatives. We prove that the Newton-Leibniz formula is true for certain classes of...