Modified Bergman spaces on the unit ball of $\mathbb C^n$ and applications
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929323365105664 |
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| author | Amor, Hajer Ben Ghiloufi, Noureddine |
| author_facet | Amor, Hajer Ben Ghiloufi, Noureddine |
| contents | In this paper, we introduce new spaces of holomorphic functions on the unit ball $\mathbb{B}_{n}$ of $\mathbb{C}^{n}$ generalizing the classical Bergman spaces. The main results include the properties of some operators and integrals representations such as Bergman-type projections, and Berezin transform. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13483 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modified Bergman spaces on the unit ball of $\mathbb C^n$ and applications Amor, Hajer Ben Ghiloufi, Noureddine Complex Variables Functional Analysis 47G10, 32A25, 32A36, 32A37 In this paper, we introduce new spaces of holomorphic functions on the unit ball $\mathbb{B}_{n}$ of $\mathbb{C}^{n}$ generalizing the classical Bergman spaces. The main results include the properties of some operators and integrals representations such as Bergman-type projections, and Berezin transform. |
| title | Modified Bergman spaces on the unit ball of $\mathbb C^n$ and applications |
| topic | Complex Variables Functional Analysis 47G10, 32A25, 32A36, 32A37 |
| url | https://arxiv.org/abs/2404.13483 |