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arXiv · 2309.15550

Arithmetic Bohr radius for the Minkowski space

Vasudevarao Allu·Himadri Halder·Subhadip Pal
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Abstract

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.

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Vasudevarao Allu, Himadri Halder, Subhadip Pal. 2023-09-27. Arithmetic Bohr radius for the Minkowski space. https://doi.org/10.1515/forum-2023-0425

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