Essentially commuting Hankel and Toeplitz operators.
type: Item
instance of: scholarly article
title: Essentially commuting Hankel and Toeplitz operators.
zbMATH Open document ID: 1036.47016
DOI: 10.1016/S0022-1236(03)00100-9
author: Kunyu Guo
author: Dechao Zheng
published in: Journal of Functional Analysis
publication date: 2003-08-25T00:00:00Z
review text: Let \(T_f\) and \(H_g\) denote Toeplitz and Hankel operators in the Hardy space \(H^2\) which is a subspace of \(L^2 (\partial D, d\sigma),\) where \(d\sigma\) is the normalized Lebesgue measure on the unit circle \(\partial D\). The authors study the question when the commutator \([H_g, T_f]=H_gT_f-T_fH_g\) of Hankel and Toeplitz operators is compact. They find some criteria for \([H_g, T_f]\) to be compact.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 46J15
zbMATH DE Number: 1970666
zbMATH Keywords: Toeplitz operator
zbMATH Keywords: Hankel operator
zbMATH Keywords: Hardy space
zbMATH Keywords: commutator
reviewed by: N. Karapetiants
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1970666