Wiman-type inequality for functions analytic in a polydisc

• Date: 2016
• Main Authors: Kurylyak, A. O., Skaskiv, O. B., Shapovalovs’ka, L. O., Куриляк, А. О., Скасків, О. Б., Шаповаловська, Л. О.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1823
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove an analog of Wiman-type inequality for analytic functions in a polydisc $\mathbb{D}^p = \{z \in \mathbb{C}^p : |z_j| < 1,\; j \in \{ 1, . . . ,p\} \} , p \in N.$ The obtained inequality is sharp.