Finite sums of Toeplitz products on the Dirichlet space
type: Item
instance of: scholarly article
title: Finite sums of Toeplitz products on the Dirichlet space
zbMATH Open document ID: 1171.47023
author: Young Joo Lee
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-07-09T00:00:00Z
review text: The paper deals with a class of operators on the Dirichlet space of the unit disk which contain finite sums of products of two Toeplitz operators with harmonic symbols. The author presents characterizations for these operators to be zero and compact, and provides an answer to the ``zero-product'' problem for products of finitely many Toeplitz operators with harmonic symbols.
reviewed by: L. P. Castro
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 32A36
zbMATH DE Number: 5577088
zbMATH Keywords: Toeplitz operator
zbMATH Keywords: Dirichlet space
zbMATH Keywords: Bergman space
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.04.035
OpenAlex ID: W2038272948
cites work: Zero products of Toeplitz operators
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cites work: Compact operators via the Berezin transform
cites work: Q5725935
cites work: Sums of Toeplitz products with harmonic symbols
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cites work: Products of several Toeplitz operators
cites work: A problem on products of Toeplitz operators
cites work: Algebraic properties of Toeplitz operators on the Dirichlet space
cites work: Commuting Toeplitz operators on the Hardy space of the bidisk
cites work: Q3447431
DOI: 10.1016/J.JMAA.2009.04.035
description: scientific article; zbMATH DE number 5577088