摘要
利用强α型螺形映照的增长定理及推广的RDper-Suffridge算子的性质,讨论有界平衡域上强α型螺形映照的偏差上界,并作为特殊情况得到C^n中单位球B^n上强α型螺形映照的偏差上界估计以及强星形映照的偏差上界估计.所得结论丰富了对正规化双全纯映照的偏差的研究.
By the growth results for strongly spirallike mappings of type α and the property of the generalized Roper-Suffridge operators, we obtain the distortion upper bounds for strongly spirallike mappings of type α on bounded and balanced domains. As the special cases, the corresponding distortion results on B^n in C^n and the distortion upper bounds for strongly starlike mappings are also obtained. The conclusion enrich the research of distortion results for normalized biholomorphic mappings.
出处
《数学的实践与认识》
北大核心
2015年第13期258-262,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(11271359
U1204618)
河南省教育厅科学技术研究重点项目(14B110015
14B110016)
河南省科技厅科技发展计划项目(102400450003)
关键词
强α型螺形映照
增长定理
偏差定理
strongly spirallike mappings of type α
growth theorem
distortion theorem.
作者简介
通讯作者
