Toeplitz operators on the $n$-dimensional Hartogs triangle
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914961806065664 |
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| author | Jain, Shubham pramanick, paramita |
| author_facet | Jain, Shubham pramanick, paramita |
| contents | We formally introduce and study Toeplitz operators on the Hardy space of the $n$-dimensional Hartogs triangle. We find a precise relation between these operators and the Toeplitz operators on the Hardy space of the unit polydisc $\mathbb D^n.$ As an application, we deduce several properties of these operators from their polydisc counterparts. Furthermore, we show that certain results achieved for the Toeplitz operators on the $n$-dimensional Hartogs triangle are not the same as those in the polydisc case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00791 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Toeplitz operators on the $n$-dimensional Hartogs triangle Jain, Shubham pramanick, paramita Functional Analysis Complex Variables Primary 47B35, 30H10, Secondary 32Q02 We formally introduce and study Toeplitz operators on the Hardy space of the $n$-dimensional Hartogs triangle. We find a precise relation between these operators and the Toeplitz operators on the Hardy space of the unit polydisc $\mathbb D^n.$ As an application, we deduce several properties of these operators from their polydisc counterparts. Furthermore, we show that certain results achieved for the Toeplitz operators on the $n$-dimensional Hartogs triangle are not the same as those in the polydisc case. |
| title | Toeplitz operators on the $n$-dimensional Hartogs triangle |
| topic | Functional Analysis Complex Variables Primary 47B35, 30H10, Secondary 32Q02 |
| url | https://arxiv.org/abs/2410.00791 |