沿单位方向上的ρ次抛物星形映射的偏差定理  

The Distortion Theorem for Parabolic Starlike Mappings of Order p Along Unit Direction

作　　者：刘爱超[1] 刘浩[2] 

机构地区：[1]黄淮学院数学科学系,驻马店河南463000 [2]河南大学数学与统计学院,开封河南475004

出　　处：《数学进展》2015年第4期545-552,共8页Advances in Mathematics（China）

基　　金：国家自然科学基金(No.11271359);河南省教育厅科学技术研究重点项目(No.14B110015)

摘　　要：目前多种双全纯映射的偏差估计结果还较少.针对这一情况,本文研究了复Banach空间中开单位球B及欧氏空间中单位多圆柱D_n单位方向上的p次抛物星形映射的偏差估计问题.利用ρ次抛物星形映射定义中的不等式及已知的增长结果,获得了上述域上的ρ次抛物星形映射的偏差估计.There have been few distortion results about various types of biholomorphic mappings. Aiming to this issue, the paper studies the distortion estimation of parabolic starlike mappings of order p along unit direction on unit ball B in complex Banach space and unit polydisc Dn in Euclidean space. By using the inequalities appeared in the definition of the parabolic starlike mapping of order p and the known growth result, we obtain the distortion estimation on the above several domains.

关 键 词：ρ次抛物星形映射 增长定理 偏差估计 

分 类 号：O174.51[理学—数学]