Continuous functionals and multipliers of power series of a class of functions analytic in a polydisk
type: Item
instance of: scholarly article
title: Continuous functionals and multipliers of power series of a class of functions analytic in a polydisk
zbMATH Open document ID: 1032.46038
published in: Russian Mathematics
publication date: 2004-03-18T00:00:00Z
review text: The author studies multipliers on spaces \(F^{p,q}_\alpha(\mathbb{D}^n)\) of functions analytic on the polydisc \(\mathbb{D}^n\), defined by \[ F^{p,q}_\alpha(\mathbb{D}^n)= \Biggl\{f: \int_{\mathbb{D}^n} \Biggl(\int_{[0,1]^n}|f(r\xi)|^q(1- r)^\alpha dr\Biggr)^{p,q} dm_{pq}(\xi)\Biggr\}<\infty. \] {}.
Mathematics Subject Classification ID: 46E15
Mathematics Subject Classification ID: 32A37
zbMATH DE Number: 1758677
zbMATH Keywords: Hardy classes
zbMATH Keywords: multipliers
zbMATH Keywords: polydisc
author: Romi F. Shamoyan
reviewed by: Vladimir V. Peller
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1758677