Inequalities for inner radii of symmetric disjoint domains

• Date: 2018
• Main Authors: Bakhtin, A. K., Vyhovs'ka, L.V., Denega, I. V., Бахтин, А. К., Выговская, Л.В., Денега, И. В.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1634
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the following problem: Let $a_0 = 0, | a_1| = ... = | a_n| = 1,\; a_k \in B_k {\subset C}$, where $B_0, ... ,B_n$ are disjoint domains, and $B_1, ... ,B_n$ are symmetric about the unit circle. It is necessary to find the exact upper bound for $r^{\gamma} (B_0, 0) \prod^n_{k=1} r(B_k, a_k...