Multidimensional analogues of the improved Bohr's inequality
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911306135633920 |
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| author | Ahamed, Molla Basir Majumder, Sujoy Sarkar, Nabadwip Liu, Ming-Sheng |
| author_facet | Ahamed, Molla Basir Majumder, Sujoy Sarkar, Nabadwip Liu, Ming-Sheng |
| contents | The main aim of this article is to establish a sharp improvement of the classical Bohr inequality for bounded holomorphic mappings in the polydisk $\mathbb{P}Δ(0;1_n)$. We also prove two other sharp versions of the Bohr inequality in the setting of several complex variables by replacing the constant term with the absolute value of the function and the square of the absolute value of the function, respectively. All the results are shown to be sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06419 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multidimensional analogues of the improved Bohr's inequality Ahamed, Molla Basir Majumder, Sujoy Sarkar, Nabadwip Liu, Ming-Sheng Complex Variables 30A10, 30C45, 30C62, 30C75 The main aim of this article is to establish a sharp improvement of the classical Bohr inequality for bounded holomorphic mappings in the polydisk $\mathbb{P}Δ(0;1_n)$. We also prove two other sharp versions of the Bohr inequality in the setting of several complex variables by replacing the constant term with the absolute value of the function and the square of the absolute value of the function, respectively. All the results are shown to be sharp. |
| title | Multidimensional analogues of the improved Bohr's inequality |
| topic | Complex Variables 30A10, 30C45, 30C62, 30C75 |
| url | https://arxiv.org/abs/2512.06419 |