On distortions of the transfinite diameter of disk image

• Date: 2023
• Main Authors: Salimov, R., Vyhivska, L., Klishchuk, B., Салімов, Руслан, Вигівська, Людмила, Кліщук, Богдан
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7329
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.54, 517.12 We investigate the so-called ring $Q$-homeomorphisms with respect to the $p$-modulus for $p>2$ on a complex plane. In particular, we establish a lower bound for the distortion of the transfinite diameter of disk image. Moreover, we solve the pr...