Homogeneous expansions of normalized biholomorphic convex mappings over B^p

作     者：刘太顺 张文俊 

作者机构：Department of MathematicsUniversity of Science and Technology of ChinaHefei 230026China Department of MathematicsShenzhen UniversityShenzhen 518060China 

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

年 卷 期：1997年第40卷第8期

页      面：799-806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：Project supported in part by the National Natural Science Foundation of China 

主　　题：biholomorphic convex mappings Reinhardt domains Schwarz-type lemma. 

摘      要：The power series expansions of normalized biholomorphic convex mappings on the Reinhardt domain are *** is proved that the first (k+1 ) terms ofthe expansions of the jth component fj of such a map / depend only on zj for 1≤j≤n,where k is the natural number that satisfies kp≤k+*** p∞,this gives the result on the unit polydisc obtained by Sulfridge in 1970.