The Bohr inequality for holomorphic mappings with lacunary series in several complex variables

被引：12
|
作者：
Liu, Xiao-song [1 ]
Liu, Tai-shun [2 ]
机构：
[1] Lingnan Normal Univ, Sch Math & Stat, Zhanjiang 524048, Guangdong, Peoples R China
[2] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 485卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Bohr inequality; Lacunary series; Holomorphic mapping; Norm type; Functional type; ANALYTIC-FUNCTIONS; THEOREM; RADIUS; BASES;
D O I：
10.1016/j.jmaa.2020.123844
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first give the Bohr inequality of norm type for holomorphic mappings with lacunary series on the unit polydisk in C-n under some restricted conditions. Next we also establish the Bohr inequality of norm type for holomorphic mappings with lacunary series on the unit ball of complex Banach spaces under some additional conditions, and the Bohr inequality of functional type for holomorphic mappings with lacunary series on the unit ball of complex Banach spaces. Our derived results reduce to the corresponding results in one complex variable. (C) 2020 Elsevier Inc. All rights reserved.
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页数：13
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