Arithmetic Bohr radius for the Minkowski space
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910123485560832 |
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| author | Allu, Vasudevarao Halder, Himadri Pal, Subhadip |
| author_facet | Allu, Vasudevarao Halder, Himadri Pal, Subhadip |
| contents | The main aim of this paper is to study the arithmetic Bohr radius for holomophic functions defined on a Reinhardt domain in $\mathbb{C}^n$ with positive real part. The present investigation is motivated by the work of Lev Aizenberg [Proc. Amer. Math. Soc. 128 (2000), 2611--2619]. A part of our study in the present paper includes a connection between the classical Bohr radius and the arithmetic Bohr radius of unit ball in the Minkowski space $\ell^n_{q}\, , 1\leq q\leq \infty$. Further, we determine the exact value of a Bohr radius in terms of arithmetric Bohr radius. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15550 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Arithmetic Bohr radius for the Minkowski space Allu, Vasudevarao Halder, Himadri Pal, Subhadip Complex Variables 32A05, 32A10, 32A17, 30B10 The main aim of this paper is to study the arithmetic Bohr radius for holomophic functions defined on a Reinhardt domain in $\mathbb{C}^n$ with positive real part. The present investigation is motivated by the work of Lev Aizenberg [Proc. Amer. Math. Soc. 128 (2000), 2611--2619]. A part of our study in the present paper includes a connection between the classical Bohr radius and the arithmetic Bohr radius of unit ball in the Minkowski space $\ell^n_{q}\, , 1\leq q\leq \infty$. Further, we determine the exact value of a Bohr radius in terms of arithmetric Bohr radius. |
| title | Arithmetic Bohr radius for the Minkowski space |
| topic | Complex Variables 32A05, 32A10, 32A17, 30B10 |
| url | https://arxiv.org/abs/2309.15550 |