The commutants of analytic Toeplitz operators for several complex variables
type: Item
instance of: scholarly article
title: The commutants of analytic Toeplitz operators for several complex variables
zbMATH Open document ID: 1259.47034
author: Sui Huang
author: Guangfu Cao
published in: Science China. Mathematics
publication date: 2011-02-25T00:00:00Z
review text: In this paper, the authors prove that if \(\varphi\) is a nonconstant bounded analytic function on the unit ball \(B_n\) and continuous on \(S_n\) in \(\mathbb{C}^n\), and \(\psi\) is a bounded measurable function on \(S_n\) such that \(T_{\varphi^\ast}\) and \(T_{\psi}\) commute, then \(\psi\) is the boundary value of an analytic function on \(B_n\). In addition, the commutants of two Toeplitz operators are also discussed.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 32A35
Mathematics Subject Classification ID: 32A36
zbMATH DE Number: 5857641
zbMATH Keywords: Toeplitz operator
zbMATH Keywords: commutant
reviewed by: Yufeng Lu
MaRDI profile type: Publication
full work available at URL: s11425-010-4023-6
OpenAlex ID: W2020677959
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DOI: 10.1007/S11425-010-4023-6
description: scientific article; zbMATH DE number 5857641