一类α次强星形映照的偏差定理  

Distortion theorem for a class of strongly starlike mappings of orderα

作　　者：刘爱超[1] 葛立[2] 刘浩[3] 

机构地区：[1]黄淮学院数学科学系,河南驻马店463000 [2]河南科技学院数学科学学院,河南新乡453003 [3]河南大学数学与信息科学学院,河南开封475004

出　　处：《兰州理工大学学报》2014年第3期152-156,共5页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11271359);河南省计划项目(112300410251)

摘　　要：目前多种双全纯映照的偏差估计结果还较少.针对这一问题,研究复向量空间Cn中开单位球Bn,复Banach空间中单位球B和域Ωp1,…,pn上一类α次强星形映照的偏差估计问题.利用不等式、矩阵及α次强星形映照的增长定理等方法,获得上述域上的一类α次强星形映照的偏差估计.There is still less results in distortion estimation of multiple bi-holomorphic mappings at present. Aimed at this problem, the distortion estimation of strongly starlike mapping of order a on open unit ball B. in complex vector space Cn, unit ball B in complex Banach space, and domain Ωp1…,pn, is investigated. By using the methods such as inequality, matrix, and growth theorem of strongly starlike mapping of order a, the distortion estimation of mapping on above-mentioned domains is obtained.

关 键 词：α次强星形映照 增长定理 偏差定理 

分 类 号：O174.5[理学—数学]