Toeplitz operators on some function spaces
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912034620178432 |
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| author | Benhida, Chafiq Exner, George R. Lee, Ji Eun Lee, Jongrak |
| author_facet | Benhida, Chafiq Exner, George R. Lee, Ji Eun Lee, Jongrak |
| contents | We reconsider studies of Toeplitz operators on function spaces (the weighted Bergman space, the generalized derivative Hardy space) and the H-Toeplitz operators on the Bergman space. Past studies have considered the presence or absence of hyponormality or questions of contractivity or expansivity; we provide structure theorems for these operators that allow us to recapture, and often considerably improve, these results. In some cases these operators or their adjoints are actually in more restrictive classes, such as subnormal or moment infinitely divisible ($\mathcal{MID}$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_12395 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Toeplitz operators on some function spaces Benhida, Chafiq Exner, George R. Lee, Ji Eun Lee, Jongrak Functional Analysis 47 We reconsider studies of Toeplitz operators on function spaces (the weighted Bergman space, the generalized derivative Hardy space) and the H-Toeplitz operators on the Bergman space. Past studies have considered the presence or absence of hyponormality or questions of contractivity or expansivity; we provide structure theorems for these operators that allow us to recapture, and often considerably improve, these results. In some cases these operators or their adjoints are actually in more restrictive classes, such as subnormal or moment infinitely divisible ($\mathcal{MID}$). |
| title | Toeplitz operators on some function spaces |
| topic | Functional Analysis 47 |
| url | https://arxiv.org/abs/2409.12395 |