The Coefficient Inequalities for a Class of Holomorphic Mappings in Several Complex Variables

The authors establish the coefficient inequalities for a class of holomorphic mappings on the unit ball in a complex Banach space or on the unit polydisk in ℂ n , which are natural extensions to higher dimensions of some Fekete and Szegö inequalities for subclasses of the normalized univalent functi...

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2020-01, Vol.41 (1), p.37-48
Main Authors: Xu, Qinghua, Liu, Taishun, Liu, Xiaosong
Format: Article
Language:English
Subjects:
Applications of Mathematics
Banach spaces
Complex variables
Inequalities
Mathematical analysis
Mathematics
Mathematics and Statistics
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Summary:The authors establish the coefficient inequalities for a class of holomorphic mappings on the unit ball in a complex Banach space or on the unit polydisk in ℂ n , which are natural extensions to higher dimensions of some Fekete and Szegö inequalities for subclasses of the normalized univalent functions in the unit disk.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-019-0184-y