Estimates of products of some powers of inner radii for multiconnected domains

• Datum: 2021
• Hauptverfasser: Bakhtin , A. K., Zabolotnii , Ya. V., Бахтін, О. К., Заболотний, Я. В.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2021
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6682
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.54 In this paper, we consider the problem of extreme partition of the complex plane, which is well-known in the geometric theory of functions. We obtain estimates of the maximum value for the product of some powers of inner radii of $n$ disjoint domains in the complex plane with respect to $...