Distortion Theorems for Normalized Biholomorphic Quasi-convex Mappings  

作　　者：Xiao Fei ZHANG Tai Shun LIU Yong Hong XIE 

机构地区：[1]College of Mathematics and Information Science, Pingdingshan University [2]Department of Mathematics, Huzhou Teachers College [3]College of Mathematics and Information Science, Hebei Normal University

出　　处：《Acta Mathematica Sinica,English Series》2017年第9期1242-1248,共7页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11101139,11031008,11301136,11571089,11401159 and 11501198);the Science Foundation of Hebei Province(Grant No.A2014205069);the Key Scientific Research Pro jects in Universities of He’nan Province(Grant No.16B110010);the Doctoral Foundation of Pingdingshan University(Grant No.PXY-BSQD-2015005);the Doctoral Foundation of Hebei Normal University(Grant No.L2015B04);the Foster Foundation of Pingdingshan University(Grant No.PXYPYJJ2016007)

摘　　要：In this paper, we will use the Schwarz lemma at the boundary to character the distortion theorems of determinant at the extreme points and distortion theorems of matrix on the complex tangent space at the extreme points for normalized locally biholomorphic quasi-convex mappings in the unit ball Bn respectively.In this paper, we will use the Schwarz lemma at the boundary to character the distortion theorems of determinant at the extreme points and distortion theorems of matrix on the complex tangent space at the extreme points for normalized locally biholomorphic quasi-convex mappings in the unit ball Bn respectively.

关 键 词：Distortion theorem quasi-convex mappings Schwarz lemma at the boundary 

分 类 号：O174.52[理学—数学]