The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces
The aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the Iida-Sato-Sawano-Tanaka theorem for the Hardy...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/648251 |
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| _version_ | 1832565537374208000 |
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| author | Takeshi Iida |
| author_facet | Takeshi Iida |
| author_sort | Takeshi Iida |
| collection | DOAJ |
| description | The aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the Iida-Sato-Sawano-Tanaka theorem for the Hardy-Littlewood maximal operator and multilinear maximal function. |
| format | Article |
| id | doaj-art-d645ac34daaa4c5fa145a14ba56052e2 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d645ac34daaa4c5fa145a14ba56052e22025-02-03T01:07:21ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/648251648251The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type SpacesTakeshi Iida0Department of General Education, Fukushima National College of Technology, Fukushima 970-8034, JapanThe aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the Iida-Sato-Sawano-Tanaka theorem for the Hardy-Littlewood maximal operator and multilinear maximal function.http://dx.doi.org/10.1155/2014/648251 |
| spellingShingle | Takeshi Iida The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces Journal of Function Spaces |
| title | The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces |
| title_full | The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces |
| title_fullStr | The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces |
| title_full_unstemmed | The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces |
| title_short | The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces |
| title_sort | boundedness of the hardy littlewood maximal operator and multilinear maximal operator in weighted morrey type spaces |
| url | http://dx.doi.org/10.1155/2014/648251 |
| work_keys_str_mv | AT takeshiiida theboundednessofthehardylittlewoodmaximaloperatorandmultilinearmaximaloperatorinweightedmorreytypespaces AT takeshiiida boundednessofthehardylittlewoodmaximaloperatorandmultilinearmaximaloperatorinweightedmorreytypespaces |