Asymptotic Toeplitz and Hankel operators on the Bergman space
type: Item
instance of: scholarly article
title: Asymptotic Toeplitz and Hankel operators on the Bergman space
zbMATH Open document ID: 1208.47028
author: Namita Das
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2010-10-01T00:00:00Z
review text: \textit{J.\,Barria} and \textit{P.\,R.\thinspace Halmos} [Trans.\ Am.\ Math.\ Soc.\ 273, 621--630 (1982; Zbl 0522.47020)] introduced the notion of the asymptotic Toeplitz operators in the context of the Hardy space \(H^2\) of the unit circle. In the paper under review, the corresponding concept is studied in the setting of the Bergman space \(L^2_a\) of the unit disk.
reviewed by: Oleksiy Karlovych
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 5794234
zbMATH Keywords: asymptotic Toeplitz operator
zbMATH Keywords: asymptotic Hankel operator
zbMATH Keywords: Hardy space
zbMATH Keywords: Bergman space
zbMATH Keywords: Bergman shift operator
MaRDI profile type: Publication
full work available at URL: s13226-010-0023-z
OpenAlex ID: W2005884478
cites work: Interpolation problems in nest algebras
cites work: Commuting Toeplitz operators with harmonic symbols
cites work: Asymptotic Toeplitz Operators
cites work: Density of algebras generated by Toeplitz operators on Bergman spaces
cites work: On Hankel operators associated with a class of non-Toeplitz operators
cites work: Q5521075
cites work: Q3667432
cites work: Q3881402
cites work: Q3994887
DOI: 10.1007/S13226-010-0023-Z
description: scientific article; zbMATH DE number 5794234