Weighted Multilinear Hardy Operators on Herz Type Spaces

This paper focuses on the bounds of weighted multilinear Hardy operators on the product Herz spaces and the product Morrey-Herz spaces, respectively. We present a sufficient condition on the weight function that guarantees weighted multilinear Hardy operators to be bounded on the product Herz spaces...

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Detalles Bibliográficos
Autores principales: Gong, Shuli, Fu, Zunwei, Ma, Bolin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3913363/
https://www.ncbi.nlm.nih.gov/pubmed/24511285
http://dx.doi.org/10.1155/2014/420408
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author Gong, Shuli
Fu, Zunwei
Ma, Bolin
author_facet Gong, Shuli
Fu, Zunwei
Ma, Bolin
author_sort Gong, Shuli
collection PubMed
description This paper focuses on the bounds of weighted multilinear Hardy operators on the product Herz spaces and the product Morrey-Herz spaces, respectively. We present a sufficient condition on the weight function that guarantees weighted multilinear Hardy operators to be bounded on the product Herz spaces. And the condition is necessary under certain assumptions. Finally, we extend the obtained results to the product Morrey-Herz spaces.
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spelling pubmed-39133632014-02-09 Weighted Multilinear Hardy Operators on Herz Type Spaces Gong, Shuli Fu, Zunwei Ma, Bolin ScientificWorldJournal Research Article This paper focuses on the bounds of weighted multilinear Hardy operators on the product Herz spaces and the product Morrey-Herz spaces, respectively. We present a sufficient condition on the weight function that guarantees weighted multilinear Hardy operators to be bounded on the product Herz spaces. And the condition is necessary under certain assumptions. Finally, we extend the obtained results to the product Morrey-Herz spaces. Hindawi Publishing Corporation 2014-01-05 /pmc/articles/PMC3913363/ /pubmed/24511285 http://dx.doi.org/10.1155/2014/420408 Text en Copyright © 2014 Shuli Gong et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Gong, Shuli
Fu, Zunwei
Ma, Bolin
Weighted Multilinear Hardy Operators on Herz Type Spaces
title Weighted Multilinear Hardy Operators on Herz Type Spaces
title_full Weighted Multilinear Hardy Operators on Herz Type Spaces
title_fullStr Weighted Multilinear Hardy Operators on Herz Type Spaces
title_full_unstemmed Weighted Multilinear Hardy Operators on Herz Type Spaces
title_short Weighted Multilinear Hardy Operators on Herz Type Spaces
title_sort weighted multilinear hardy operators on herz type spaces
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3913363/
https://www.ncbi.nlm.nih.gov/pubmed/24511285
http://dx.doi.org/10.1155/2014/420408
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AT fuzunwei weightedmultilinearhardyoperatorsonherztypespaces
AT mabolin weightedmultilinearhardyoperatorsonherztypespaces

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