Work

Estimates of the Second Bohr radius for vector-valued Holomorphic functions

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2510.07780

Authors: Arora, Vibhuti, M, Vinayak

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Science and Engineering Research Board

Awards: G2348518090, G3671150840

OpenAlex ID: W4415318437

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