Littlewood-Paley characterization for Campanato spaces
The Littlewood-Paley characterization for the local approximation Campanato spaces Lpα is well known in the cases α≥0 and α=−np. We give in this paper a characterization of such a type for L2α spaces (and for Morrey-Campanato spaces L2,λ) for any α≥−n2. These spaces contain as spacial cases the well...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2006/921520 |
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| _version_ | 1832554903058251776 |
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| author | Azzeddine El Baraka |
| author_facet | Azzeddine El Baraka |
| author_sort | Azzeddine El Baraka |
| collection | DOAJ |
| description | The Littlewood-Paley characterization for the local approximation Campanato spaces Lpα is well known in the cases α≥0 and α=−np. We give in this paper a characterization of such a type for L2α spaces (and for Morrey-Campanato spaces L2,λ) for any α≥−n2. These spaces contain as spacial cases the well known spaces BMO of John and Nirenberg and its local version bmo. |
| format | Article |
| id | doaj-art-420fd217abc14c2fae1a5267d1a42ab6 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-420fd217abc14c2fae1a5267d1a42ab62025-02-03T05:50:14ZengWileyJournal of Function Spaces and Applications0972-68022006-01-014219322010.1155/2006/921520Littlewood-Paley characterization for Campanato spacesAzzeddine El Baraka0University Mohamed Ben Abdellah, FST Fez, Department of mathematics, BP 2202, Route Immouzer, Fez, MoroccoThe Littlewood-Paley characterization for the local approximation Campanato spaces Lpα is well known in the cases α≥0 and α=−np. We give in this paper a characterization of such a type for L2α spaces (and for Morrey-Campanato spaces L2,λ) for any α≥−n2. These spaces contain as spacial cases the well known spaces BMO of John and Nirenberg and its local version bmo.http://dx.doi.org/10.1155/2006/921520 |
| spellingShingle | Azzeddine El Baraka Littlewood-Paley characterization for Campanato spaces Journal of Function Spaces and Applications |
| title | Littlewood-Paley characterization for Campanato spaces |
| title_full | Littlewood-Paley characterization for Campanato spaces |
| title_fullStr | Littlewood-Paley characterization for Campanato spaces |
| title_full_unstemmed | Littlewood-Paley characterization for Campanato spaces |
| title_short | Littlewood-Paley characterization for Campanato spaces |
| title_sort | littlewood paley characterization for campanato spaces |
| url | http://dx.doi.org/10.1155/2006/921520 |
| work_keys_str_mv | AT azzeddineelbaraka littlewoodpaleycharacterizationforcampanatospaces |