Commutants of the sum of two quasihomogeneous Toeplitz operators
A major open question in the theory of Toeplitz operator on the Bergman space of the unit disk of the complex plane is the complete characterization of the set of all Toeplitz operators that commute with a given operator. Researchers showed that when a sum = + , where and are radial functions,...
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2024
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| Online Access: | https://hdl.handle.net/11073/33273 |
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| _version_ | 1864513431752671232 |
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| author | Bouhali, Aissa |
| author2 | Louhichi, Issam |
| author2_role | author |
| author_facet | Bouhali, Aissa Louhichi, Issam |
| author_role | author |
| dc.creator.none.fl_str_mv | Bouhali, Aissa Louhichi, Issam |
| dc.date.none.fl_str_mv | 2024-03-12 2026-04-01T09:38:58Z 2026-04-01T09:38:58Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | Bouhali, A., & Louhichi, I. (2024). Commutants of the sum of two quasihomogeneous Toeplitz operators. Concrete Operators, 11(1). https://doi.org/10.1515/conop-2024-0005 2299-3282 https://hdl.handle.net/11073/33273 10.1515/conop-2024-0005 |
| dc.language.none.fl_str_mv | en |
| dc.publisher.none.fl_str_mv | De Gruyter |
| dc.relation.none.fl_str_mv | https://doi.org/10.1515/conop-2024-0005 |
| dc.rights.none.fl_str_mv | Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ |
| dc.subject.none.fl_str_mv | Toeplitz Operators Quasihomogeneous Symbol Mellin Transform Gamma Function |
| dc.title.none.fl_str_mv | Commutants of the sum of two quasihomogeneous Toeplitz operators |
| dc.type.none.fl_str_mv | Peer-Reviewed Published version info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | A major open question in the theory of Toeplitz operator on the Bergman space of the unit disk of the complex plane is the complete characterization of the set of all Toeplitz operators that commute with a given operator. Researchers showed that when a sum = + , where and are radial functions, commutes with a sum =(2+1) +(2+1) , then must be of the form = , where is a constant. In this article, we will replace (2+1) and (2+1) with and , where and are in ℕ , and we will show that the same result holds. |
| format | article |
| id | aus_275bfa986d45166d421c9cafb0dc63ef |
| identifier_str_mv | Bouhali, A., & Louhichi, I. (2024). Commutants of the sum of two quasihomogeneous Toeplitz operators. Concrete Operators, 11(1). https://doi.org/10.1515/conop-2024-0005 2299-3282 10.1515/conop-2024-0005 |
| language_invalid_str_mv | en |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/33273 |
| publishDate | 2024 |
| publisher.none.fl_str_mv | De Gruyter |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ |
| spelling | Commutants of the sum of two quasihomogeneous Toeplitz operatorsBouhali, AissaLouhichi, IssamToeplitz OperatorsQuasihomogeneous SymbolMellin TransformGamma FunctionA major open question in the theory of Toeplitz operator on the Bergman space of the unit disk of the complex plane is the complete characterization of the set of all Toeplitz operators that commute with a given operator. Researchers showed that when a sum = + , where and are radial functions, commutes with a sum =(2+1) +(2+1) , then must be of the form = , where is a constant. In this article, we will replace (2+1) and (2+1) with and , where and are in ℕ , and we will show that the same result holds.De Gruyter2026-04-01T09:38:58Z2026-04-01T09:38:58Z2024-03-12Peer-ReviewedPublished versioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfBouhali, A., & Louhichi, I. (2024). Commutants of the sum of two quasihomogeneous Toeplitz operators. Concrete Operators, 11(1). https://doi.org/10.1515/conop-2024-00052299-3282https://hdl.handle.net/11073/3327310.1515/conop-2024-0005enhttps://doi.org/10.1515/conop-2024-0005Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/oai:repository.aus.edu:11073/332732026-04-02T05:14:27Z |
| spellingShingle | Commutants of the sum of two quasihomogeneous Toeplitz operators Bouhali, Aissa Toeplitz Operators Quasihomogeneous Symbol Mellin Transform Gamma Function |
| status_str | publishedVersion |
| title | Commutants of the sum of two quasihomogeneous Toeplitz operators |
| title_full | Commutants of the sum of two quasihomogeneous Toeplitz operators |
| title_fullStr | Commutants of the sum of two quasihomogeneous Toeplitz operators |
| title_full_unstemmed | Commutants of the sum of two quasihomogeneous Toeplitz operators |
| title_short | Commutants of the sum of two quasihomogeneous Toeplitz operators |
| title_sort | Commutants of the sum of two quasihomogeneous Toeplitz operators |
| topic | Toeplitz Operators Quasihomogeneous Symbol Mellin Transform Gamma Function |
| url | https://hdl.handle.net/11073/33273 |