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.
出处
《数学杂志》
CSCD
北大核心
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)
关键词
α次殆β型螺形映照
增长定理
偏差上界
almost spirallike mappings of type β
order α
growth theorem
distortion upperbound