The Estimates of All Homogeneous Expansions for a Subclass of ε Quasi-convex Mappings in Several Complex Variables

The authors obtain the estimates of all homogeneous expansions for a subclass of ε quasi-convex mappings on the unit ball in complex Banach spaces. Moreover, the estimates of all homogeneous expansions for the above generalized mappings on the unit polydisk in ℂ n are also obtained. Especially, the...

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2018-07, Vol.39 (4), p.621-632
Main Authors: Liu, Xiaosong, Liu, Taishun
Format: Article
Language:English
Subjects:
Applications of Mathematics
Banach spaces
Complex variables
Estimates
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
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Summary:The authors obtain the estimates of all homogeneous expansions for a subclass of ε quasi-convex mappings on the unit ball in complex Banach spaces. Moreover, the estimates of all homogeneous expansions for the above generalized mappings on the unit polydisk in ℂ n are also obtained. Especially, the above estimates are only sharp for a subclass of starlike mappings, quasi-convex mappings and quasi-convex mappings of type A . The results are the generalization of many known results.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-018-0085-5