Estimates of the Second Bohr radius for vector-valued Holomorphic functions
Complex Variables
2025-10-10 v1
Abstract
This paper introduces the second Bohr radius for vector-valued holomorphic functions defined on arbitrary complete Reinhardt domains. We aim to establish the lower and upper bounds of the second Bohr radius in both finite and infinite-dimensional settings. Additionally, we provide specific estimates that connect the Second Bohr radius to a symmetric Banach space. We also explore the relationships between our findings and certain existing results.
Keywords
Cite
@article{arxiv.2510.07780,
title = {Estimates of the Second Bohr radius for vector-valued Holomorphic functions},
author = {Vibhuti Arora and Vinayak M},
journal= {arXiv preprint arXiv:2510.07780},
year = {2025}
}