Estimates of the products of inner radii for multiconnected domains

• Date: 2021
• Main Authors: Bakhtin , A. K., Zabolotnii, Ya. V., Бахтін, О. К., Заболотний, Я. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6200
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

УДК 517.54 We consider the known problem of geometric function theory on extremal partition of the complex plane. For this problem, we obtain estimates for the maximum value of the product of inner radii of $n$ disjoint domains with respect to $n$ arbitrary points in the complex plane. The exact sol...