On the multidimensional Bohr radius
Proceedings of the American Mathematical Society2022
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Abstract
This article provides a relation between the classical Bohr radius, the arithmetic Bohr radius, and the multidimensional Bohr radius. Through this relation, we give answers to some questions, one is raised by Defant et al. and other one is an open problem, both are related to the multidimensional Bohr radius. Moreover, we provide better new estimates of Bohr radii for holomorphic functions defined on Banach spaces.
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