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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/420408 |
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| _version_ | 1850176208432529408 |
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| author | Shuli Gong Zunwei Fu Bolin Ma |
| author_facet | Shuli Gong Zunwei Fu Bolin Ma |
| author_sort | Shuli Gong |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-b035ea6abdc24f63a34767a18220612d |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-b035ea6abdc24f63a34767a18220612d2025-08-20T02:19:18ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/420408420408Weighted Multilinear Hardy Operators on Herz Type SpacesShuli Gong0Zunwei Fu1Bolin Ma2College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, ChinaDepartment of Mathematics, Linyi University, Linyi, Shandong 276005, ChinaCollege of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, ChinaThis 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.http://dx.doi.org/10.1155/2014/420408 |
| spellingShingle | Shuli Gong Zunwei Fu Bolin Ma Weighted Multilinear Hardy Operators on Herz Type Spaces The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/420408 |
| work_keys_str_mv | AT shuligong weightedmultilinearhardyoperatorsonherztypespaces AT zunweifu weightedmultilinearhardyoperatorsonherztypespaces AT bolinma weightedmultilinearhardyoperatorsonherztypespaces |