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

被引：0

作者：

Hamada, Hidetaka ^{[1
]}

Honda, Tatsuhiro ^{[2
]}

Kohr, Mirela ^{[3
]}

机构：

[1] Kyushu Sangyo Univ, Fac Sci & Engn, 3-1 Matsukadai,2 Chome,Higashi Ku, Fukuoka 8138503, Japan

[2] Senshu Univ, Sch Commerce, Dept Commercial Sci, 2-1-1 Higashimita,Tama Ku, Kawasaki 2148580, Japan

[3] Babes Bolyai Univ, Fac Math & Comp Sci, 1 M Kogalniceanu Str, Cluj Napoca 400084, Romania

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2025年 / 15卷 / 03期

基金：

日本学术振兴会;

关键词：

Bohr-Rogosinski radius; Holomorphic mapping; Homogeneous polynomial expansion; JB(& lowast; )-triple; Subordinate; Unit polydisc; SUBORDINATING FAMILIES; THEOREM; SERIES;

D O I：

10.1007/s13324-025-01061-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 C-n, n >= 2. Next, we obtain the Bohr-Rogosinski radius for holomorphic mappings with values in the closure of the unit ball of a 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.

引用

页数：19

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