2017
Том 69
№ 6

All Issues

Wiman-type inequality for functions analytic in a polydisc

Kurylyak A. O., Shapovalovs’ka L. O., Skaskiv O. B.


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.

Citation Example: Kurylyak A. O., Shapovalovs’ka L. O., Skaskiv O. B. Wiman-type inequality for functions analytic in a polydisc // Ukr. Mat. Zh. - 2016. - 68, № 1. - pp. 78-86.