English

Levy's phenomenon for analytic functions in the polydisc

Complex Variables 2016-02-16 v1

Abstract

In this paper we prove some analogue of Wiman's type inequality for random analytic functions in the polydisc Dp={zCp ⁣:zj<1,j{1,,p}}, pZ+\mathbb{D}^p=\{z\in\mathbb{C}^p\colon |z_j|<1, j\in\{1,\ldots,p\}\},\ p\in\mathbb{Z}_+. The obtained inequality is sharp.

Keywords

Cite

@article{arxiv.1602.04756,
  title  = {Levy's phenomenon for analytic functions in the polydisc},
  author = {A. O. Kuryliak and O. B. Skaskiv and S. R. Skaskiv},
  journal= {arXiv preprint arXiv:1602.04756},
  year   = {2016}
}
R2 v1 2026-06-22T12:50:34.503Z