On the induced connection on sections of Toeplitz operators
The purpose of the present article is to show that an upper bound of the induced connection on sections of Toeplitz operators is bounded by a function of the Hankel and of the Toeplitz operators on a weighted Hilbert Bergman space on a bounded domain of a complete Kähler manifold.
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| Format: | Article |
| Language: | English |
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Tuncer Acar
2024-01-01
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| Series: | Modern Mathematical Methods |
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| Online Access: | https://modernmathmeth.com/index.php/pub/article/view/14 |
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| _version_ | 1849768864276021248 |
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| author | Mohammed El Aïdi |
| author_facet | Mohammed El Aïdi |
| author_sort | Mohammed El Aïdi |
| collection | DOAJ |
| description | The purpose of the present article is to show that an upper bound of the induced connection on sections of Toeplitz operators is bounded by a function of the Hankel and of the Toeplitz operators on a weighted Hilbert Bergman space on a bounded domain of a complete Kähler manifold. |
| format | Article |
| id | doaj-art-06f444ef40394d4ba4a4fb540c50fa21 |
| institution | DOAJ |
| issn | 3023-5294 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Tuncer Acar |
| record_format | Article |
| series | Modern Mathematical Methods |
| spelling | doaj-art-06f444ef40394d4ba4a4fb540c50fa212025-08-20T03:03:40ZengTuncer AcarModern Mathematical Methods3023-52942024-01-0121101814On the induced connection on sections of Toeplitz operatorsMohammed El Aïdi0https://orcid.org/0000-0002-3032-0879Universidad Nacional de Colombia, Sede Bogotá, Facultad de Ciencias, Departamento de Matemáticas, Edificio 404, Bogotá, D.C. ColombiaThe purpose of the present article is to show that an upper bound of the induced connection on sections of Toeplitz operators is bounded by a function of the Hankel and of the Toeplitz operators on a weighted Hilbert Bergman space on a bounded domain of a complete Kähler manifold.https://modernmathmeth.com/index.php/pub/article/view/14bundle of bergman spacechern connectionhankel and toeplitz operatorskähler manifold |
| spellingShingle | Mohammed El Aïdi On the induced connection on sections of Toeplitz operators Modern Mathematical Methods bundle of bergman space chern connection hankel and toeplitz operators kähler manifold |
| title | On the induced connection on sections of Toeplitz operators |
| title_full | On the induced connection on sections of Toeplitz operators |
| title_fullStr | On the induced connection on sections of Toeplitz operators |
| title_full_unstemmed | On the induced connection on sections of Toeplitz operators |
| title_short | On the induced connection on sections of Toeplitz operators |
| title_sort | on the induced connection on sections of toeplitz operators |
| topic | bundle of bergman space chern connection hankel and toeplitz operators kähler manifold |
| url | https://modernmathmeth.com/index.php/pub/article/view/14 |
| work_keys_str_mv | AT mohammedelaidi ontheinducedconnectiononsectionsoftoeplitzoperators |