Boundedness of certain linear operators on twisted Fock spaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866913455518253056 |
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| author | Garg, Rahul Thangavelu, Sundaram |
| author_facet | Garg, Rahul Thangavelu, Sundaram |
| contents | On the twisted Fock spaces $ \mathcal{F}^λ(\mathbb{C}^{2n}) $ we consider two types of convolution operators $ S_φ$ and $ \widetilde{S}_φ$ associated to an element $ φ\in \mathcal{F}^λ(\mathbb{C}^{2n}) .$ We find a necessary and sufficient condition on $ φ$ so that $ S_φ$ (resp. $ \widetilde{S}_φ$ ) is bounded on $ \mathcal{F}^λ(\mathbb{C}^{2n}).$ We show that for any given non constant $ φ$ at least one of these two operators is unbounded. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_14188 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Boundedness of certain linear operators on twisted Fock spaces Garg, Rahul Thangavelu, Sundaram Functional Analysis Classical Analysis and ODEs 30H20, 42A38, 42B15, 44A15 On the twisted Fock spaces $ \mathcal{F}^λ(\mathbb{C}^{2n}) $ we consider two types of convolution operators $ S_φ$ and $ \widetilde{S}_φ$ associated to an element $ φ\in \mathcal{F}^λ(\mathbb{C}^{2n}) .$ We find a necessary and sufficient condition on $ φ$ so that $ S_φ$ (resp. $ \widetilde{S}_φ$ ) is bounded on $ \mathcal{F}^λ(\mathbb{C}^{2n}).$ We show that for any given non constant $ φ$ at least one of these two operators is unbounded. |
| title | Boundedness of certain linear operators on twisted Fock spaces |
| topic | Functional Analysis Classical Analysis and ODEs 30H20, 42A38, 42B15, 44A15 |
| url | https://arxiv.org/abs/2306.14188 |