On the asymptotic behavior of the diameter of the image of a ball at infinity

• Date: 2026
• Main Authors: Klishchuk, B., Salimov, R., Stefanchuk, M., Кліщук, Богдан, Салімов, Руслан, Стефанчук, Марія
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9018
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We study the asymptotic behavior of the diameter of the image of a ball under ring $Q$-homeomorphisms with respect to the  $p$-modulus for $p>n$ in the space $\mathbb{R}^{n}$, $n\geq 2$. We also establish the lower bound for the distortion of the diameter of ball image and solve...