Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols
A major open problem in the theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator, that is, the set of all bounded Toeplitz operators that commute with it. In this paper, we provide a complete description o...
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| مؤلفون آخرون: | , |
| التنسيق: | article |
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2026
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| الوصول للمادة أونلاين: | https://hdl.handle.net/11073/33237 |
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| _version_ | 1864513431831314432 |
|---|---|
| author | Bouhali, Aissa |
| author2 | Louhichi, Issam Yousef, Abdelrahman |
| author2_role | author author |
| author_facet | Bouhali, Aissa Louhichi, Issam Yousef, Abdelrahman |
| author_role | author |
| dc.creator.none.fl_str_mv | Bouhali, Aissa Louhichi, Issam Yousef, Abdelrahman |
| dc.date.none.fl_str_mv | 2026-03-09T08:52:11Z 2026-03-09T08:52:11Z 2026-01 |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | Bouhali, Aissa, Louhichi, Issam, Yousef, Abdelrahman, Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols, Journal of Mathematics, 2026, 7819269, 11 pages, 2026. https://doi.org/10.1155/jom/7819269 2314-4785 https://hdl.handle.net/11073/33237 10.1155/jom/7819269 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Wiley |
| dc.relation.none.fl_str_mv | https://doi.org/10.1155/jom/7819269 |
| dc.subject.none.fl_str_mv | Mellin transform Quasihomogeneous symbol Toeplitzoperator |
| dc.title.none.fl_str_mv | Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols |
| dc.type.none.fl_str_mv | Peer-Reviewed Published version info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | A major open problem in the theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator, that is, the set of all bounded Toeplitz operators that commute with it. In this paper, we provide a complete description of bounded Toeplitz operators. Tƒ , where the symbol ƒ , has a truncated polar decomposition, that commute with a Toeplitz operator, whose symbol is the sum of a quasi-homogeneous function and a bounded analytic function. |
| format | article |
| id | aus_e1a7f3be82dfc9f0b39b92affcd04a2f |
| identifier_str_mv | Bouhali, Aissa, Louhichi, Issam, Yousef, Abdelrahman, Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols, Journal of Mathematics, 2026, 7819269, 11 pages, 2026. https://doi.org/10.1155/jom/7819269 2314-4785 10.1155/jom/7819269 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/33237 |
| publishDate | 2026 |
| publisher.none.fl_str_mv | Wiley |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic SymbolsBouhali, AissaLouhichi, IssamYousef, AbdelrahmanMellin transformQuasihomogeneous symbolToeplitzoperatorA major open problem in the theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator, that is, the set of all bounded Toeplitz operators that commute with it. In this paper, we provide a complete description of bounded Toeplitz operators. Tƒ , where the symbol ƒ , has a truncated polar decomposition, that commute with a Toeplitz operator, whose symbol is the sum of a quasi-homogeneous function and a bounded analytic function.Wiley2026-03-09T08:52:11Z2026-03-09T08:52:11Z2026-01Peer-ReviewedPublished versioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfBouhali, Aissa, Louhichi, Issam, Yousef, Abdelrahman, Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols, Journal of Mathematics, 2026, 7819269, 11 pages, 2026. https://doi.org/10.1155/jom/78192692314-4785https://hdl.handle.net/11073/3323710.1155/jom/7819269en_UShttps://doi.org/10.1155/jom/7819269oai:repository.aus.edu:11073/332372026-03-10T05:27:27Z |
| spellingShingle | Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols Bouhali, Aissa Mellin transform Quasihomogeneous symbol Toeplitzoperator |
| status_str | publishedVersion |
| title | Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols |
| title_full | Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols |
| title_fullStr | Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols |
| title_full_unstemmed | Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols |
| title_short | Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols |
| title_sort | Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols |
| topic | Mellin transform Quasihomogeneous symbol Toeplitzoperator |
| url | https://hdl.handle.net/11073/33237 |