A SUBCLASS OF QUASI-CONVEX MAPPINGS ON A REINHARDT DOMAIN IN C^n  

作　　者：Xiaosong LIU 刘小松(School of Mathematics and Statistics,Lingnan Normal University,Zhanjiang 524048,China)

机构地区：[1]School of Mathematics and Statistics,Lingnan Normal University,Zhanjiang 524048,China

出　　处：《Acta Mathematica Scientia》2020年第6期1709-1722,共14页数学物理学报（B辑英文版）

基　　金：National Natural Science Foundation of China(11871257).

摘　　要：Let D p 1,p 2,⋯,p n={z∈C n:∑l=1 n|z l|p l<1},p l>1,l=1,2,⋯,n.In this article,we first establish the sharp estimates of the main coefficients for a subclass of quasi-convex mappings(including quasi-convex mappings of type A and quasi-convex mappings of type B)on D p 1,p 2,⋯,p n under some weak additional assumptions.Meanwhile,we also establish the sharp distortion theorems for the above mappings.The results that we obtain reduce to the corresponding classical results in one dimension.

关 键 词：quasi-convex mapping quasi-convex mapping of type A quasi-convex mapping of type B main coefficient distortion theorem 

分 类 号：O174.13[理学—数学]