Evolutionary-type estimates for the products of some powers of the inner radii of multiply connected domains

• Date: 2026
• Main Authors: Zabolotnyi, Ya., Заболотний, Ярослав
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8919
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.54 We consider a classical problem of the geometric function theory concerning the maximum product of certain powers of the inner radii of $n$ mutually disjoint domains with respect to $n$ fixed points in the complex plane. For this product, several estimates of evolutionary type are e...