English

Asymptotic value of the multidimensional Bohr radius

Complex Variables 2024-09-24 v2

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 pn\ell_p^n space and having values in the simply connected domain of C\mathbb{C}. Moreover, we investigate sharp Bohr radius for four distinct categories of holomorphic functions. These functions map the bounded balanced domain GG of a complex Banach space XX into the following domains: the right half-plane, the slit domain, the punctured unit disk, and the exterior of the closed unit disk.

Keywords

Cite

@article{arxiv.2205.07111,
  title  = {Asymptotic value of the multidimensional Bohr radius},
  author = {Vibhuti Arora and Shankey Kumar and Saminathan Ponnusamy},
  journal= {arXiv preprint arXiv:2205.07111},
  year   = {2024}
}