AI 中文总结
研究\(\mathbb{C}^n\)中一般单连通域上全纯函数的玻尔现象，改进相关现有结果，还考虑含单位多圆盘的多圆盘上多重调和映射，建立玻尔型不等式。
AI 中文摘要
本文研究了定义在\(\mathbb{C}^n\)中一般单连通域上的全纯函数的玻尔现象。我们改进了Evdordis等人（2021年发表于《数学结果》第76卷第14期的“移位圆盘的改进玻尔不等式”）对\(\mathbb{C}^n\)中更广泛全纯函数类的现有结果。此外，我们考虑定义在包含单位多圆盘\(\mathbb{P}\Delta(0_n, 1_n)\)的多圆盘上的多重调和映射，并为这类映射建立了一个玻尔型不等式。
英文摘要
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 $\mathbb{P}Δ(0_n, 1_n)$ and establish a Bohr-type inequality for this class of mappings.
