多复变数星形映射在某方向上精确的偏差定理  

On the precise distortion theorems for starlike mappings along a unit direction in several complex variables

作　　者：卢金[1] 刘太顺[1] 王俊[1] 

机构地区：[1]湖州师范学院数学系,浙江湖州313000

出　　处：《纯粹数学与应用数学》2013年第5期507-512,共6页Pure and Applied Mathematics

基　　金：国家自然科学基金(11101139;11261022;11031008);浙江省新苗计划;湖师院科研项目(KX21057)

摘　　要：研究了Cn中单位多圆柱上星形映射在某方向上精确的偏差定理.给出了复Banach空间单位球的某方向上精确的偏差的上界,同时给出了下界的猜测.We established the precise distortion theorems of Jacobian matrix for starlike mappings along a unit direction on the unit polydisc of Cn. We obtained the upper bound estimate of the precise distortion theorem for starlike mappings on the unit ball of a complex Banach space. Finally, a conjectures of the lower bound was considered

关 键 词：星形映射 偏差定理 增长定理 

分 类 号：O174.56[理学—数学]