The Bohr-type inequalities for holomorphic functions with lacunary series in complex Banach space
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911857534566400 |
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| author | Kumar, Shankey Ponnusamy, Saminathan Williams, G. Brock |
| author_facet | Kumar, Shankey Ponnusamy, Saminathan Williams, G. Brock |
| contents | In this paper, we study the Bohr inequality with lacunary series to the single valued (resp. vector-valued) holomorphic function defined in unit ball of finite dimensional Banach sequence space. Also, we extend the Bohr inequality with an alternating series to the higher-dimensional space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18623 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Bohr-type inequalities for holomorphic functions with lacunary series in complex Banach space Kumar, Shankey Ponnusamy, Saminathan Williams, G. Brock Complex Variables In this paper, we study the Bohr inequality with lacunary series to the single valued (resp. vector-valued) holomorphic function defined in unit ball of finite dimensional Banach sequence space. Also, we extend the Bohr inequality with an alternating series to the higher-dimensional space. |
| title | The Bohr-type inequalities for holomorphic functions with lacunary series in complex Banach space |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2404.18623 |