Toeplitz operators on weighted Hardy and Besov spaces
type: Item
instance of: scholarly article
title: Toeplitz operators on weighted Hardy and Besov spaces
zbMATH Open document ID: 1200.47036
author: Joan Fàbrega
author: C. Cascante
author: J. M. Ortega
published in: Mathematische Zeitschrift
publication date: 2009-11-20T00:00:00Z
review text: The main goal of this paper is the study of the norms of Toeplitz operators in a large scale of spaces of holomorphic functions on the unit ball of \(\mathbb{C}^n\), which includes weighted Hardy and Besov spaces. The reults can be used to improve some well-known results on Toeplitz operators in classical spaces, such as the holomorphic Besov space on the unit ball, and the ball algebra (the space of holomorphic functions on \(B\) and continuous on the unit ball). As an application, the authors give characterizations of some spaces of pointwise multipliers.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 32A37
zbMATH DE Number: 5636270
zbMATH Keywords: Toeplitz operators, weighted Hardy spaces, Besov spaces
zbMATH Keywords: pointwise multipliers
zbMATH Keywords: isometry
reviewed by: Ze-Hua Zhou
MaRDI profile type: Publication
full work available at URL: s00209-008-0439-x
OpenAlex ID: W2001920938
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DOI: 10.1007/S00209-008-0439-X
description: scientific article; zbMATH DE number 5636270