SHARP ESTIMATES OF QUASI-CONVEX MAPPINGS OF TYPE B AND ORDER α

作     者：Mingsheng LIU Fen WU Yan YANG 刘名生;吴芬;杨燕

作者机构：School of Mathematical Sciences South China Normal University Guangzhou 510631 China School of Mathematics(Zhuhai) Sun Yat-Sen University Zhuhai 519080 China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2019年第39卷第5期

页      面：1265-1276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：supported by Guangdong Natural Science Foundation(2018A030313508) Science and Technology Program of Guangzhou,China(201804010171) 

主　　题：quasi-convex mappings of type B and order α inequalities of homogeneous expansions the sharp estimate of third homogeneous expansions 

摘      要：In this paper,we first establish several sharp inequalities of homogeneous expansion for biholomorphic quasi-convex mappings of type B and order a on the unit ball E in a complex Banach space X by applying the method and technique of complex ***,as the application of these sharp inequalities,we derive the sharp estimate of third homogeneous expansions for the above mappings defined on the unit polydisk U^n in C^n.