Commuting dual Toeplitz operators on weighted Bergman spaces of the unit ball
type: Item
instance of: scholarly article
title: Commuting dual Toeplitz operators on weighted Bergman spaces of the unit ball
zbMATH Open document ID: 1248.47030
author: Jun Yang
author: Yufeng Lu
publication date: 2011-11-04T00:00:00Z
review text: Let \(A^2_{\alpha}(B_n)\) be the standard weighted Bergman space over the unit ball \(B_n\) in \(\mathbb{C}^n\), and let \(P_{\alpha}\) be the corresponding Bergman projection. For a function \(f \in L^{\infty}(B_n)\), the dual Toeplitz operator is defined by \(S_fu = (I-P_{\alpha})(fu)\), for \(u \in (A^2_{\alpha}(B_n))^{\perp}\). The authors study the commutativity, essential commutativity and essential semi-commutativity properties of such dual Toeplitz operators.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47B47
zbMATH DE Number: 5968216
zbMATH Keywords: dual Toeplitz operator
zbMATH Keywords: unit ball
zbMATH Keywords: weighted Bergman space
zbMATH Keywords: commutativity
MaRDI profile type: Publication
full work available at URL: s10114-011-8577-1
OpenAlex ID: W1977629360
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DOI: 10.1007/S10114-011-8577-1
published in: Acta Mathematica Sinica, English Series
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description: scientific article; zbMATH DE number 5968216