Inequalities for the inner radii of nonorevlapping domains

• Date: 2019
• Main Authors: Bakhtin, A. K., Denega, I. V., Бахтин, А. К., Денега, И. В.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1492
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.54 We consider the problem of maximum of the functional $$ r^\gamma\left(B_0,0\right)\prod\limits_{k=1}^n r\left(B_k,a_k\right), $$ where $B_{0},\ldots,B_{n}$, $n\geq 2$, are pairwise disjoint domains in $\overline{\mathbb{C}},$ $a_0=0,$ $|a_{k}|=1$, $k=\overline{1,n},$ and $\gamma\in (0, n...