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arXiv · 2607.12777

Multidimensional analogues of the improved Bohr's inequality for shifted polydisks

Sujoy Majumder·Abhijit Banerjee·Jhilik Banerjee·Shantanu Panja
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Abstract

In this article, we investigate the Bhor phenomenon for holomorphic functions defined on a general simply connected domain in $\mathbb{C}^n$. We improve the existing results Evdordis et al. (Improved Bohr's inequality for shifted disks, Results in Mathematics, 76, 14 (2021)) for a broader class of holomorphic functions in $\mathbb{C}^n$. Furthermore, we consider pluriharmonic mappings defined on a polydisk containing the unit polydisk $\mathbb{P}\Delta(0_n, 1_n)$ and establish a Bohr-type inequality for this class of mappings.

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Sujoy Majumder, Abhijit Banerjee, Jhilik Banerjee, Shantanu Panja. 2026-07-14. Multidimensional analogues of the improved Bohr's inequality for shifted polydisks. https://arxiv.org/abs/2607.12777

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