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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Bibliographic Details
Published inTheScientificWorld Vol. 2014; no. 2014; pp. 1 - 10
Main Authors Gong, Shuli, Ma, Bolin, Fu, Zun Wei
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2014
John Wiley & Sons, Inc
Wiley
Subjects
Algorithms
Colleges & universities
Mathematical research
Mathematics
Models, Theoretical
Operator theory
Topological spaces
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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Academic Editors: M. M. Cavalcanti and S. Mohiuddine
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/420408