摘要
给出了Reinhardt域上改进的Roper-Suffridge算子保持α阶殆星形映射和α阶星形映射的一个充分条件,说明了在一定的限制条件下,比如函数的Bloch性,Roper-Suffridge算子的形式可以更加广泛化.
In this article,we obtain sufficient conditions for a modification of the RoperSuffridge extension operator preserves the properties of almost starlike mappings of orderαand starlike mappings of orderαon Reinhardt domains,it shows that under some conditions,such as the Bloch of functions,the form of Roper-Suffridge operators can be more generalization.
作者
张晓飞
李永杰
张凌
ZHANG Xiao-fei;LI Yong-jie;ZHANG Ling(School of Mathematics and Statistics,Pingdingshan University,Pingdingshan 467000,China)
出处
《数学的实践与认识》
北大核心
2020年第20期236-242,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金青年项目(11701307)
平顶山学院博士启动基金(PXY-BSQD2015005)
平顶山学院培育基金(PXY-PYJJ2016007)。
