高维复Banach空间中带值全纯映射的Bohr-Rogosinski半径

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-04-29 DOI:10.1007/s13324-025-01061-x

Hidetaka Hamada, Tatsuhiro Honda, Mirela Kohr

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引用次数: 0

摘要

本文研究了复巴拿赫空间单位球上全纯映射的Bohr-Rogosinski半径，其值在高维复巴拿赫空间中。首先，我们得到了在空间\({\mathbb {C}}^n\), \(n\ge 2\)的单位多面体闭包内的全纯映射的Bohr-Rogosinski半径。其次，我们得到了值在\(\hbox {JB}^*\) -三元组的单位球闭包内的全纯映射的Bohr-Rogosinski半径。最后，我们得到了复Banach空间的单位球上一类隶属的Bohr-Rogosinski半径。所有的结果都被证明是尖锐的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Bohr–Rogosinski radius for holomorphic mappings with values in higher dimensional complex Banach spaces

In this paper, we investigate the Bohr–Rogosinski radius for holomorphic mappings on the unit ball of a complex Banach space with values in a higher dimensional complex Banach space. First, we obtain the Bohr–Rogosinski radius for holomorphic mappings with values in the closure of the unit polydisc of the space \({\mathbb {C}}^n\), \(n\ge 2\). Next, we obtain the Bohr–Rogosinski radius for holomorphic mappings with values in the closure of the unit ball of a \(\hbox {JB}^*\)-triple. Finally, we obtain the Bohr–Rogosinski radius for a class of subordinations on the unit ball of a complex Banach space. All of the results are proved to be sharp.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.