The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914020004462592 |
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| author | Ahammed, Sabir Ahamed, Molla Basir Hossain, Rajesh |
| author_facet | Ahammed, Sabir Ahamed, Molla Basir Hossain, Rajesh |
| contents | In this paper, we study the Bohr inequality with lacunary series for vector-valued holomorphic functions defined in unit ball of finite dimensional Banach sequence space. Also, we study the Bohr-Rogosinski inequality for same class of functions. All the results are proved to be sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03532 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces Ahammed, Sabir Ahamed, Molla Basir Hossain, Rajesh Complex Variables Primary: 32A05, 32A10, 32A22, Secondary: 46B20, 46G25, 46E50 In this paper, we study the Bohr inequality with lacunary series for vector-valued holomorphic functions defined in unit ball of finite dimensional Banach sequence space. Also, we study the Bohr-Rogosinski inequality for same class of functions. All the results are proved to be sharp. |
| title | The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces |
| topic | Complex Variables Primary: 32A05, 32A10, 32A22, Secondary: 46B20, 46G25, 46E50 |
| url | https://arxiv.org/abs/2509.03532 |