Singular integral operators and sublinear operators on Hardy local Morrey spaces with variable exponents
type: Item
instance of: scholarly article
title: Singular integral operators and sublinear operators on Hardy local Morrey spaces with variable exponents
zbMATH Open document ID: 1475.42025
author: Kwok-Pun Ho
published in: Bulletin des Sciences Mathématiques
publication date: 2021-08-17T00:00:00Z
review text: In the paper under review, the author aims to study the mapping properties of singular integral operators and some sublinear operators on the Hardy spaces built on local Morrey spaces with variable exponents. As we all know, a powerful tool for the study of the Hardy type spaces is the atomic and molecular decomposition. But, the author here used the extrapolation theory to obtain these mapping properties. Furthermore, the author obtains the mapping properties of the Calderón-Zygmund operators, the Littlewood-Paley functions and the maximal Bochner-Riesz means on the Hardy local Morrey spaces with variable exponents.
reviewed by: Haixia Yu
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B15
Mathematics Subject Classification ID: 42B30
Mathematics Subject Classification ID: 42B35
zbMATH DE Number: 7382521
zbMATH Keywords: Calderón-Zygmund operators
zbMATH Keywords: Bochner-Riesz means
zbMATH Keywords: Littlewood-Paley functions
zbMATH Keywords: Hardy space
zbMATH Keywords: local Morrey spaces
zbMATH Keywords: variable exponent
MaRDI profile type: Publication
full work available at URL: j.bulsci.2021.103033
OpenAlex ID: W3184980505
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DOI: 10.1016/J.BULSCI.2021.103033
description: scientific article; zbMATH DE number 7382521