摘要
在文[1]中定义了ε星形映照族,给出了其在复Banach空间及C^n中的域上的判别准则,讨论了Roper-Suffridge算子,本文将进一步讨论Roper-Suffridge算子,并给出单位圆上ε星形映照族的增长定理的上界估计。
In the previous paper [1], the authors defined the family of ε starlike mappings and gave the criterion of the family of e starlike mappings on domains in complex Banach spaces and Cn. The Roper-Suffridge extension operators were also discussed in [1]. In this paper, the authors will make further investigation on Roper-Suffridge extension operators, and give the upper bound estimate of the growth theorem for the family of ?starlike mappings on the unit disc.
出处
《数学年刊（A辑）》
CSCD
北大核心
2003年第5期625-638,共14页
Chinese Annals of Mathematics
基金
973计划
国家自然科学基金(No.19971082
No19871081)
安徽省自然科学基金(No.99047216)
