L∞-Estimates of the Bergman projection in the Lie ball of ℂn
In this paper, we consider estimates with loss for the Bergman projections of bounded symmetric domains of ℂn in their Harish-Chandra realizations. This paper is twofold: on one side we develop transfer methods between these bounded domains and their Cayley transform; on the other side we give a new...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2011/291620 |
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| _version_ | 1832567966522146816 |
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| author | Cyrille Nana |
| author_facet | Cyrille Nana |
| author_sort | Cyrille Nana |
| collection | DOAJ |
| description | In this paper, we consider estimates with loss for the Bergman projections of bounded symmetric domains of ℂn in their Harish-Chandra realizations. This paper is twofold: on one side we develop transfer methods between these bounded domains and their Cayley transform; on the other side we give a new range of q such that the Bergman projection is bounded from L∞(ℬn) to Lq(ℬn) where ℬn is the Lie ball of ℂn. |
| format | Article |
| id | doaj-art-d2e99e9dbbc74d2990d5a2e6a15d535b |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-d2e99e9dbbc74d2990d5a2e6a15d535b2025-02-03T01:00:02ZengWileyJournal of Function Spaces and Applications0972-68022011-01-019210912810.1155/2011/291620L∞-Estimates of the Bergman projection in the Lie ball of ℂnCyrille Nana0University of Buea, Faculty of Science, Department of Mathematics, P.O. Box 63, Buea, CameroonIn this paper, we consider estimates with loss for the Bergman projections of bounded symmetric domains of ℂn in their Harish-Chandra realizations. This paper is twofold: on one side we develop transfer methods between these bounded domains and their Cayley transform; on the other side we give a new range of q such that the Bergman projection is bounded from L∞(ℬn) to Lq(ℬn) where ℬn is the Lie ball of ℂn.http://dx.doi.org/10.1155/2011/291620 |
| spellingShingle | Cyrille Nana L∞-Estimates of the Bergman projection in the Lie ball of ℂn Journal of Function Spaces and Applications |
| title | L∞-Estimates of the Bergman projection in the Lie ball of ℂn |
| title_full | L∞-Estimates of the Bergman projection in the Lie ball of ℂn |
| title_fullStr | L∞-Estimates of the Bergman projection in the Lie ball of ℂn |
| title_full_unstemmed | L∞-Estimates of the Bergman projection in the Lie ball of ℂn |
| title_short | L∞-Estimates of the Bergman projection in the Lie ball of ℂn |
| title_sort | l∞ estimates of the bergman projection in the lie ball of cn |
| url | http://dx.doi.org/10.1155/2011/291620 |
| work_keys_str_mv | AT cyrillenana lestimatesofthebergmanprojectioninthelieballofcn |