Martingale Morrey-Hardy and Campanato-Hardy Spaces
We introduce generalized Morrey-Campanato spaces of martingales, which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012. We also introduce generalized Morrey-Hardy and Campanato-Hardy spaces of martingales and study Burk...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/690258 |
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| _version_ | 1850173752041537536 |
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| author | Eiichi Nakai Gaku Sadasue Yoshihiro Sawano |
| author_facet | Eiichi Nakai Gaku Sadasue Yoshihiro Sawano |
| author_sort | Eiichi Nakai |
| collection | DOAJ |
| description | We introduce generalized Morrey-Campanato spaces of martingales,
which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012. We also introduce generalized Morrey-Hardy and Campanato-Hardy spaces of martingales and study Burkholder-type equivalence. We give some results on the boundedness of fractional integrals of martingales on these spaces. |
| format | Article |
| id | doaj-art-ca51d80e31cd49fca27750061013a49f |
| institution | OA Journals |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-ca51d80e31cd49fca27750061013a49f2025-08-20T02:19:47ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/690258690258Martingale Morrey-Hardy and Campanato-Hardy SpacesEiichi Nakai0Gaku Sadasue1Yoshihiro Sawano2Department of Mathematics, Ibaraki University, Mito, Ibaraki 310-8512, JapanDepartment of Mathematics, Osaka Kyoiku University, Kashiwara, Osaka 582-8582, JapanDepartment of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami-Osawa 1-1, Hachioji-shi, Tokyo 192-0397, JapanWe introduce generalized Morrey-Campanato spaces of martingales, which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012. We also introduce generalized Morrey-Hardy and Campanato-Hardy spaces of martingales and study Burkholder-type equivalence. We give some results on the boundedness of fractional integrals of martingales on these spaces.http://dx.doi.org/10.1155/2013/690258 |
| spellingShingle | Eiichi Nakai Gaku Sadasue Yoshihiro Sawano Martingale Morrey-Hardy and Campanato-Hardy Spaces Journal of Function Spaces and Applications |
| title | Martingale Morrey-Hardy and Campanato-Hardy Spaces |
| title_full | Martingale Morrey-Hardy and Campanato-Hardy Spaces |
| title_fullStr | Martingale Morrey-Hardy and Campanato-Hardy Spaces |
| title_full_unstemmed | Martingale Morrey-Hardy and Campanato-Hardy Spaces |
| title_short | Martingale Morrey-Hardy and Campanato-Hardy Spaces |
| title_sort | martingale morrey hardy and campanato hardy spaces |
| url | http://dx.doi.org/10.1155/2013/690258 |
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