Estimation of the product of inner radii of partially nonoverlapping domains

• Date: 2008
• Main Authors: Podvysotskii, R. V., Подвысоцкий, Р. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3218
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We present new results on the maximization of products of positive powers of inner radii of some special domain systems in the extended complex plane $\overline{{\mathbb C}}$ with respect to points of finite sets such that any two distinct points $z_1, z_2 \in {\mathbb C}\setminus \{0\}$ of such set...