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arXiv · 2205.07111

Asymptotic value of the multidimensional Bohr radius

Vibhuti Arora·Shankey Kumar·Saminathan Ponnusamy
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Abstract

This article determines the exact asymptotic value of the Bohr radii and the arithmetic Bohr radii for the holomorphic functions defined on the unit ball of the $\ell_p^n$ space and having values in the simply connected domain of $\mathbb{C}$. Moreover, we investigate sharp Bohr radius for four distinct categories of holomorphic functions. These functions map the bounded balanced domain $G$ of a complex Banach space $X$ into the following domains: the right half-plane, the slit domain, the punctured unit disk, and the exterior of the closed unit disk.

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Vibhuti Arora, Shankey Kumar, Saminathan Ponnusamy. 2022-05-14. Asymptotic value of the multidimensional Bohr radius. https://arxiv.org/abs/2205.07111

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