On integral representation of radial operators
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912051823116288 |
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| author | Bhunia, Bishal |
| author_facet | Bhunia, Bishal |
| contents | In this article, we characterize the radial operators on weighted Bergman spaces of Reinhardt domains in $\mathbb{C}^n$, the Dirichlet and the Hardy spaces of the open unit disk $\mathbb{D}$, in terms of integral representations. We also investigate normality, compactness, spectrum and numerical ranges of these operators. Further, utilizing the theory of radial operators, we produce examples of von Neumann algebras of analytic functions on any Reinhardt domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_20230 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On integral representation of radial operators Bhunia, Bishal Functional Analysis Complex Variables 32A36, 47A13, 42B05 In this article, we characterize the radial operators on weighted Bergman spaces of Reinhardt domains in $\mathbb{C}^n$, the Dirichlet and the Hardy spaces of the open unit disk $\mathbb{D}$, in terms of integral representations. We also investigate normality, compactness, spectrum and numerical ranges of these operators. Further, utilizing the theory of radial operators, we produce examples of von Neumann algebras of analytic functions on any Reinhardt domain. |
| title | On integral representation of radial operators |
| topic | Functional Analysis Complex Variables 32A36, 47A13, 42B05 |
| url | https://arxiv.org/abs/2409.20230 |