On multidimensional Bohr radius of finite dimensional Banach spaces

Vasudevarao Allu; Subhadip Pal

On multidimensional Bohr radius of finite dimensional Banach spaces

Complex Variables 2025-07-01 v1 Functional Analysis

Authors: Vasudevarao Allu , Subhadip Pal

Abstract

In this paper, we improve the lower estimate of multidimensional Bohr radius for unit ball of $\ell^n_q$ -spaces ( $1\leq q\leq \infty$ ) for bounded holomorphic functions with values in finite dimensional complex Banach spaces. The new estimate provides the improved lower bound for the Bohr radius which was previously given by Defant, Maestre, and Schwarting [Adv. Math. 231 (2012), 2837--2857].

Keywords

Bohr radius Banach space holomorphic function finite dimensional lower bound

Cite

@article{arxiv.2506.23540,
  title  = {On multidimensional Bohr radius of finite dimensional Banach spaces},
  author = {Vasudevarao Allu and Subhadip Pal},
  journal= {arXiv preprint arXiv:2506.23540},
  year   = {2025}
}

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15 Pages

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