Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn
In this note, we study defect operators in the case of holomorphic functions of the unit ball of ℂn. These operators are built from weighted Bergman kernel with a holomorphic vector. We obtain a description of sub-Hilbert spaces and we give a sufficient condition so that theses spaces are the same....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2020-09-01
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| Series: | Concrete Operators |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/conop-2020-0103 |
| _version_ | 1818689868042076160 |
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| author | Rososzczuk Renata Symesak Frédéric |
| author_facet | Rososzczuk Renata Symesak Frédéric |
| author_sort | Rososzczuk Renata |
| collection | DOAJ |
| description | In this note, we study defect operators in the case of holomorphic functions of the unit ball of ℂn. These operators are built from weighted Bergman kernel with a holomorphic vector. We obtain a description of sub-Hilbert spaces and we give a sufficient condition so that theses spaces are the same. |
| first_indexed | 2024-12-17T12:16:56Z |
| format | Article |
| id | doaj.art-548a1e4e32f24457a3c231e570126f39 |
| institution | Directory Open Access Journal |
| issn | 2299-3282 |
| language | English |
| last_indexed | 2024-12-17T12:16:56Z |
| publishDate | 2020-09-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Concrete Operators |
| spelling | doaj.art-548a1e4e32f24457a3c231e570126f392022-12-21T21:49:07ZengDe GruyterConcrete Operators2299-32822020-09-017112413210.1515/conop-2020-0103conop-2020-0103Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂnRososzczuk Renata0Symesak Frédéric1Politechnika Lubelska, PolandUniversité de Poitiers. Région de Tours, FranceIn this note, we study defect operators in the case of holomorphic functions of the unit ball of ℂn. These operators are built from weighted Bergman kernel with a holomorphic vector. We obtain a description of sub-Hilbert spaces and we give a sufficient condition so that theses spaces are the same.https://doi.org/10.1515/conop-2020-0103reproducing kernelsub-bergman spaces32a3646e22 |
| spellingShingle | Rososzczuk Renata Symesak Frédéric Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn Concrete Operators reproducing kernel sub-bergman spaces 32a36 46e22 |
| title | Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn |
| title_full | Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn |
| title_fullStr | Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn |
| title_full_unstemmed | Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn |
| title_short | Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn |
| title_sort | weighted sub bergman hilbert spaces in the unit ball of cn |
| topic | reproducing kernel sub-bergman spaces 32a36 46e22 |
| url | https://doi.org/10.1515/conop-2020-0103 |
| work_keys_str_mv | AT rososzczukrenata weightedsubbergmanhilbertspacesintheunitballofcn AT symesakfrederic weightedsubbergmanhilbertspacesintheunitballofcn |