\(M^k\)-type sharp estimates and boundedness on Morrey space for Toeplitz type operators associated to fractional integral and singular integral operator with general kernel
type: Item
instance of: scholarly article
title: \(M^k\)-type sharp estimates and boundedness on Morrey space for Toeplitz type operators associated to fractional integral and singular integral operator with general kernel
zbMATH Open document ID: 1347.42022
author: Dazhao Chen
published in: Journal of Pseudo-Differential Operators and Applications
publication date: 2015-09-22T00:00:00Z
review text: The Toeplitz type operators are further generalizations of commutators from harmonic analysis. In the paper under review, for the Toeplitz type operators associated to fractional integral and singular integral operators with general kernels, the author establishes \(M^k\)-type sharp maximal function estimates. Here \(M^k\) denotes the \(k\)-iterated maximal function. As an application, the author obtains the weighted boundedness of the operators on some generalized Morrey spaces.
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 42B35
zbMATH DE Number: 6484392
zbMATH Keywords: Toeplitz-type operator
zbMATH Keywords: singular integral operator
zbMATH Keywords: fractional integral operator
zbMATH Keywords: sharp maximal function
zbMATH Keywords: BMO space
zbMATH Keywords: Morrey space
reviewed by: Renjin Jiang
MaRDI profile type: Publication
full work available at URL: s11868-015-0125-9
OpenAlex ID: W1276381175
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DOI: 10.1007/S11868-015-0125-9
description: scientific article; zbMATH DE number 6484392