Algebraic properties of Toeplitz operators on the pluriharmonic Bergman space
type: Item
instance of: scholarly article
title: Algebraic properties of Toeplitz operators on the pluriharmonic Bergman space
zbMATH Open document ID: 1283.47032
DOI: 10.1155/2013/578436
author: Liu Liu
author: Jingyu Yang
author: Yufeng Lu
published in: Journal of Function Spaces and Applications
publication date: 2013-05-29T00:00:00Z
review text: The authors study a number of algebraic properties of Toeplitz operators with radial and/or quasihomogeneous symbols acting on the pluriharmonic Bergman space over the unit ball. The questions under study include a criterion for the product of two Toeplitz operators with radial symbols to be a Toeplitz operator, the zero-product problem for several Toeplitz operators with radial symbols, the finite rank product problem of a finite number of Toeplitz operators with quasihomogeneous symbols, the finite rank commutators and semicommutators problem for two Toeplitz operators with quasihomogeneous symbols.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 32A36
zbMATH DE Number: 6167908
zbMATH Keywords: unit ball
zbMATH Keywords: pluriharmonic Bergman space
zbMATH Keywords: Toeplitz operator
zbMATH Keywords: radial symbol
zbMATH Keywords: quasihomogeneous symbol
MaRDI profile type: Publication
Wikidata QID: Q59014460
full work available at URL: https://doi.org/10.1155/2013/578436
OpenAlex ID: W2006754438
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description: scientific article; zbMATH DE number 6167908