Arithmetic Bohr radius for the Minkowski space

2023/09/27 by Vasudevarao Allu, Allu, Vasudevarao, Himadri Halder +3
Mathematics · #Algebraic and Geometric Analysis #Mathematical and Theoretical Analysis #Functional Equations Stability Results

paper · pdf · doi:10.48550/arxiv.2309.15550

Abstract

The main aim of this paper is to study the arithmetic Bohr radius for holomophic functions defined on a Reinhardt domain in ℂⁿ 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 ℓⁿ_q , 1≤ q≤ ∞. Further, we determine the exact value of a Bohr radius in terms of arithmetric Bohr radius.

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