On quasi-convex mappings of order α in the unit ball of a complex Banach space

作     者：LIU Taishun & XU Qinghua Department of Mathematics, Huzhou Teachers College, Huzhou, 313000, China Department of Mathematics, Jiangxi Normal University, Nanchang, 330022, China 

作者机构：Department of Mathematics Huzhou Teachers College Huzhou China Department of Mathematics Jiangxi Normal University Nanchang China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2006年第49卷第11期

页      面：1451-1457页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work was supported by National Natural Science Foundation of China(Grant No.10571164) Specialized Research Fund for the doctoral Program of Higher Education(Grant No.20050358052) 

主　　题：coefficient estimation the homogeneous expansion quasi-convex mapping quasi-convex mapping of order a. 

摘      要：In this paper, a class of biholomorphic mappings named quasi-convex mapping of order a in the unit ball of a complex Banach space is introduced. When the Banach space is confined to Cn, we obtain the relation between this class of mappings and the convex mappings. Furthermore, the growth and covering theorems of this class of mappings are given on the unit ball of a complex Banach space X. Finally, we get the second order terms coefficient estimations of the homogeneous expansion of quasi-convex mapping of order a defined on the polydisc in Cn and on the unit ball in a complex Banach space, respectively.