Bohr phenomenon for certain integral operators and transforms in complex Banach spaces
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915869777461248 |
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| author | Allu, Vasudevarao Biswas, Raju Mandal, Rajib Yanagihara, Hiroshi |
| author_facet | Allu, Vasudevarao Biswas, Raju Mandal, Rajib Yanagihara, Hiroshi |
| contents | In this paper, we investigate several Bohr radii associated with the Cesáro operator, Bernardi integral operator, $β$-Cesáro operator, and discrete Fourier transform, all defined on a set of holomorphic mappings from the unit ball of a complex Banach space into the closure of the unit polydisc $\mathbb{D}^n$ within the space $\mathbb{C}^n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16369 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bohr phenomenon for certain integral operators and transforms in complex Banach spaces Allu, Vasudevarao Biswas, Raju Mandal, Rajib Yanagihara, Hiroshi Complex Variables 32A05, 32A10, 32K05, 32M15 In this paper, we investigate several Bohr radii associated with the Cesáro operator, Bernardi integral operator, $β$-Cesáro operator, and discrete Fourier transform, all defined on a set of holomorphic mappings from the unit ball of a complex Banach space into the closure of the unit polydisc $\mathbb{D}^n$ within the space $\mathbb{C}^n$. |
| title | Bohr phenomenon for certain integral operators and transforms in complex Banach spaces |
| topic | Complex Variables 32A05, 32A10, 32K05, 32M15 |
| url | https://arxiv.org/abs/2603.16369 |