Coefficient multipliers of mixed norm space in the ball
type: Item
instance of: scholarly article
title: Coefficient multipliers of mixed norm space in the ball
zbMATH Open document ID: 1132.46018
published in: Science in China. Series A
publication date: 2007-02-16T00:00:00Z
review text: The authors use the Hadamard method and the general D-dual method of \textit{J.\,M.\thinspace Anderson} and \textit{A.\,L.\thinspace Shields} [Trans.\ Am.\ Math.\ Soc.\ 224, 255--265 (1977; Zbl 0352.30032)], respectively, to characterize the coefficient multiplier spaces of mixed norm spaces \((H_{p,q}(\phi_1),H_{u,v}(\phi_2))\) in the unit ball for the values of \(p,q,u,v\) in three cases: (i) \(0<p\leq u\leq \infty\), \(0<q\leq \min(1,v)\leq \infty.\) (ii) \(v=\infty\), \(0<p\leq u\leq \infty\), \(1\leq u,q\leq \infty\). (iii) \(1\leq v\leq 2\leq q\leq \infty\), and \(0<p\leq u\leq \infty\) or \(1\leq p,u\leq \infty\). The first case extends the result of Blasco, Jevtić, and Pavlović in one variable. The third case generalizes partly the results of Jevtić, Jovanović, and Wojtaszczyk to higher dimensions.
reviewed by: Meng Wang
Mathematics Subject Classification ID: 46E15
Mathematics Subject Classification ID: 42A45
Mathematics Subject Classification ID: 32A30
Mathematics Subject Classification ID: 30H05
zbMATH DE Number: 5127973
zbMATH Keywords: coefficient multipliers
zbMATH Keywords: mixed norm spaces
zbMATH Keywords: holomorphic functions
author: Jihuai Shi
author: Guangbin Ren
MaRDI profile type: Publication
full work available at URL: s11425-006-2070-9
OpenAlex ID: W2024577993
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DOI: 10.1007/S11425-006-2070-9
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description: scientific article; zbMATH DE number 5127973