Sharp distortion theorems for some subclasses of star like mappings on Bnp in Cn  

作　　者：Xiaosong LIU Taishun LIU 

机构地区：[1]School of Mathematics and Statistics,Lingnan Normal University,Zhanjiang 524048,China [2]Department of Mathematics,Huzhou University,Huzhou 313000,China

出　　处：《Frontiers of Mathematics in China》2020年第1期127-140,共14页中国高等学校学术文摘·数学（英文）

基　　金：the National Natural Science Foundation of China(Grant Nos.11871257,11971165).

摘　　要：We mainly establish the distortion theorems of Jacobi determinant for three subclasses of starlike mappings on Bpn,where Bp={z=(z1,……,zn)T∈Cn:∑nl=1|zl|p<1}p>1.In particular,the above distortion theorems are sharp if Bpn is the unit polydisk in Cn.Our results reduce to the corresponding classical results in one dimension of complex function theory.

关 键 词：STARLIKE mapping distortion theorem.Jacobi DETERMINANT 

分 类 号：O17[理学—数学]