Wiman-type inequality for functions analytic in a polydisc
Authors
A. O. Kurylyak
O. B. Skaskiv
L. O. Shapovalovs’ka
Abstract
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.