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| The Coefficient Inequalities for a Class of Holomorphic Mappings in Several Complex Variable |
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Citation： |
Qinghua XU,Taishun LIU,Xiaosong LIU.The Coefficient Inequalities for a Class of Holomorphic Mappings in Several Complex Variable[J].Chinese Annals of Mathematics B,2020,41(1):37~48 |
| Page view： 907
Net amount： 714 |
Authors： |
Qinghua XU; Taishun LIU;Xiaosong LIU |
Foundation： |
This work was supported by the National Natural Science Foundation of China (Nos.11971165, 11561030, 11471111),
the Jiangxi Provincial Natural Science Foundation of China (Nos.20152ACB20002, 20161BAB201019)
and the Natural Science Foundation of Department of Education of Jiangxi Province of China (No.GJJ150301). |
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| Abstract： |
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 $\mathbb{C}^n$, which are natural extensions
to higher dimensions of some Fekete and Szeg\"o inequalities for
subclasses of the normalized univalent functions in the unit disk. |
Keywords： |
Coefficient inequality, Fekete-Szeg"{o} problem, Quasi-convex mappings |
Classification： |
32H02, 30C45 |
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