Commuting Slant Toeplitz Operators on the Bergman Space
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917973482012672 |
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| author | Zhang, H. Y. |
| author_facet | Zhang, H. Y. |
| contents | This paper shows that on the Bergman space of the open unit disk, the slant Toeplitz operator $T_{p+φ}$ and $T_{p+ψ}$ commute if and only if $φ=ψ$ ,where $φ$ and $ψ$ are both bounded analytic functions, and $p$ is ananalytic polynomial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01042 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Commuting Slant Toeplitz Operators on the Bergman Space Zhang, H. Y. Complex Variables Functional Analysis This paper shows that on the Bergman space of the open unit disk, the slant Toeplitz operator $T_{p+φ}$ and $T_{p+ψ}$ commute if and only if $φ=ψ$ ,where $φ$ and $ψ$ are both bounded analytic functions, and $p$ is ananalytic polynomial. |
| title | Commuting Slant Toeplitz Operators on the Bergman Space |
| topic | Complex Variables Functional Analysis |
| url | https://arxiv.org/abs/2504.01042 |