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arXiv · 2510.07780

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

Vibhuti Arora·Vinayak M
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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.

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Vibhuti Arora, Vinayak M. 2025-10-09. Estimates of the Second Bohr radius for vector-valued Holomorphic functions. https://arxiv.org/abs/2510.07780

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