Paraproducts and Hankel operators of Schatten class via \(p\)-John--Nirenberg theorem
type: Item
instance of: scholarly article
title: Paraproducts and Hankel operators of Schatten class via \(p\)-John--Nirenberg theorem
zbMATH Open document ID: 1089.47024
author: Sandra Pott
author: Martin P. Smith
published in: Journal of Functional Analysis
publication date: 2005-01-26T00:00:00Z
review text: The authors give a new proof (that does not use interpolation theorems) of the fact that a dyadic paraproduct is in the Schatten--von Neumann class \(S_p\) if and only if its symbol belongs to the Besov space \(B_p^d\). This allows the authors to give a new proof of the reviewer's description of the Hankel operators of class \(S_p\) for \(1<p<\infty\) [\textit{V.~V.\ Peller}, Integral Equations Oper. Theory 5, 244--272 (1982; Zbl 0478.47014)]. The same technique is used for little Hankel operators in several variables. Finally, the authors study products of dyadic paraproducts.
reviewed by: Vladimir V. Peller
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47B10
zbMATH DE Number: 2131187
zbMATH Keywords: Hankel operators
zbMATH Keywords: paraproducts
zbMATH Keywords: Schatten--von Neumann classes
MaRDI profile type: Publication
full work available at URL: j.jfa.2004.03.005
OpenAlex ID: W2088989952
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DOI: 10.1016/J.JFA.2004.03.005
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description: scientific article; zbMATH DE number 2131187