发表机构
Jiangxi Science and Technology Normal University（江西科技师范大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文把解析函数的Bohr-Rogosinski不等式推广到复Banach空间取值全纯映射，给出多圆盘与JB*-三元组情形的半径，并证明最优性。
AI 中文摘要
本文将$\u2102$中解析函数的若干Bohr-Rogosinski型不等式推广到在高维复空间中取值的全纯映射情形。首先，我们得到了在$\u2102^n$中单位多圆盘闭包上取值的全纯映射的一般Bohr-Rogosinski半径。进一步，我们考虑了在JB$^*$-三元组单位球闭包上取值的全纯映射的相应问题。所有半径均为最优的。
英文摘要
In this paper, we extend some Bohr-Rogosinski type inequalities of analytic functions in $\mathbb{C}$ to the cases of holomorphic mappings with values in higher-dimensional complex space. First, we obtain the general Bohr-Rogosinski radius for holomorphic mappings with values in the closure of the unit polydisc in $\mathbb{C} ^n$. Furthermore, we consider the corresponding problems for holomorphic mappings with value in the closure of the unit ball of a JB$^*$-triple. All the radius are optimal.
