1. Bohr's power series theorem in the Minkowski space
- Author
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Allu, Vasudevarao, Halder, Himadri, and Pal, Subhadip
- Subjects
Mathematics - Complex Variables ,32A05, 32A10, 32A17, 30B10 - Abstract
The main aim of this paper is to study the $n$-dimensional Bohr radius for holomophic functions defined on 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 investigation 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 Bohr radius in terms of arithmetric Bohr radius., Comment: 11 Pages
- Published
- 2023