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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:485

Article

Liu, Xiao-song¹  Liu, Tai-shun² 

[1] Lingnan Normal Univ, Sch Math & Stat, Zhanjiang 524048, Guangdong, Peoples R China

[2] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China

关键词: Bohr inequality;    Lacunary series;    Holomorphic mapping;    Norm type;    Functional type;   

DOI  :  10.1016/j.jmaa.2020.123844

来源: Elsevier

【 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.

【 授权许可】

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