Commuting Toeplitz operators with biharmonic symbols
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917423609806848 |
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| author | Bouhali, Aissa Louhichi, Issam Yousef, Abdelrahman |
| author_facet | Bouhali, Aissa Louhichi, Issam Yousef, Abdelrahman |
| contents | We investigate the commutant problem for Toeplitz operators on the Bergman space of the unit disk whose symbols belong to a subclass of biharmonic functions. We obtain a complete characterization of when two such Toeplitz operators commute. As a consequence, we derive a full description of normal Toeplitz operators with symbols in this class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18650 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Commuting Toeplitz operators with biharmonic symbols Bouhali, Aissa Louhichi, Issam Yousef, Abdelrahman Functional Analysis Complex Variables Operator Algebras Primary 47B35, Secondary 47L80 We investigate the commutant problem for Toeplitz operators on the Bergman space of the unit disk whose symbols belong to a subclass of biharmonic functions. We obtain a complete characterization of when two such Toeplitz operators commute. As a consequence, we derive a full description of normal Toeplitz operators with symbols in this class. |
| title | Commuting Toeplitz operators with biharmonic symbols |
| topic | Functional Analysis Complex Variables Operator Algebras Primary 47B35, Secondary 47L80 |
| url | https://arxiv.org/abs/2604.18650 |