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.

Published

25.01.2016

Issue

Section

Research articles