一类α次殆β型螺形映照的偏差上界估计  

THE DISTORTION UPPER BOUND FOR SOME CLASS OF ALMOST SPIRALLIKE MAPPINGS OF TYPE β AND ORDER α

作　　者：刘爱超[1] 陈莹[1] 刘浩[2] 

机构地区：[1]黄淮学院数学科学系,河南驻马店463000 [2]河南大学数学与信息科学学院,河南开封475004

出　　处：《数学杂志》2014年第3期562-568,共7页Journal of Mathematics

基　　金：国家自然科学基金资助项目(11271359);河南省计划项目(112300410251);河南省教育厅科学技术重点研究项目(14B110015)

摘　　要：本文研究了复向量空间Cn中开单位球Bn,复Banach空间中单位球B和域?p1,···,pn上一类α次殆β型螺形映照的偏差估计问题.利用不等式、矩阵及α次殆β型螺形映照的增长定理等方法,获得了上述域上的一类α次殆β型螺形映照的偏差上界估计,所得结果推广了一些已知的结论.This paper studies the distortion estimation of almost spirallike mapping of typeβ and order α on unit ball Bnin complex vector space Cn, unit ball B on complex Banach space and Reinhard domain Ωp1,···,pn. By using the methods of inequalities, matrices and the growth and cover theorem of almost spirallike mapping of type β and order α, we obtain the distortion upper bound on the above domains, which generalizes some known conclusions.

关 键 词：α次殆β型螺形映照 增长定理 偏差上界 

分 类 号：O174.56[理学—数学]