A property of the β-Cauchy-type integral with continuous density

• Date: 2008
• Main Authors: Abreu, Blaya R., Bory, Reyes J., Абрей, Блая Р., Борі, Рейес Дж.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3259
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The aim of this paper is to extend a theorem from classical complex analysis proved by Davydov in 1949 to the theory of solutions of a special case of the Beltrami equation in the z-complex plane (i.e., null solutions of the differential operator $\partial_{\overline{z}} - \beta \frac{z}{\overline{...