Work

Levy's phenomenon for analytic functions in the polydisc

Year: 2016
Type: preprint
Abstract: In this paper we prove some analogue of Wiman's type inequality for random analytic functions in the polydisc $\mathbb{D}^p=\{z\in\mathbb{C}^p\colon |z_j|<1, j\in\{1,\ldots,p\}\},\ p\in\mathbb{Z}_+$. The obtained inequality is sharp.
Institution: Lviv University
Language: English
Open Access status: green
OpenAlex ID: W2280981156
Cites: 3
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Related to: 10