Estimates of the Second Bohr radius for vector-valued Holomorphic functions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912638323130368 |
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| author | Arora, Vibhuti M, Vinayak |
| author_facet | Arora, Vibhuti M, Vinayak |
| contents | This paper introduces the second Bohr radius for vector-valued holomorphic functions defined on arbitrary complete Reinhardt domains. We aim to establish the lower and upper bounds of the second Bohr radius in both finite and infinite-dimensional settings. Additionally, we provide specific estimates that connect the Second Bohr radius to a symmetric Banach space. We also explore the relationships between our findings and certain existing results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07780 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Estimates of the Second Bohr radius for vector-valued Holomorphic functions Arora, Vibhuti M, Vinayak Complex Variables This paper introduces the second Bohr radius for vector-valued holomorphic functions defined on arbitrary complete Reinhardt domains. We aim to establish the lower and upper bounds of the second Bohr radius in both finite and infinite-dimensional settings. Additionally, we provide specific estimates that connect the Second Bohr radius to a symmetric Banach space. We also explore the relationships between our findings and certain existing results. |
| title | Estimates of the Second Bohr radius for vector-valued Holomorphic functions |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2510.07780 |