摘要
研究单位圆盘上的调和映照在不同条件下积分算子I_f(z)的单叶半径问题,得到在满足不同条件下的Landau型常数,其结论是渐进精确的;其次在调和映照f(z)有界的情况下,研究积分算子I_f(z)的有界性,其结论也是渐进精确的.
In this paper,the univalent radius for harmonic mappings under the integral operator If(z)is estimated on the unit disk,and obtain the asymptotic exact expression of the Landau type constant.Secondly,the boundedness of integral operator If(z)is studied in the case of bounded harmonic mapping,and the asymptotically exact conclusion is also obtained.
作者
谢志春
李东征
XIE Zhi-chun;LI Dong-zheng(Department of Mathematics,School of Computer and Artificial Intelligence Xiamen Institute of Technology, Xiamen 361021,China)
出处
《数学的实践与认识》
北大核心
2019年第2期273-278,共6页
Mathematics in Practice and Theory
基金
福建省中青年教师教育科研项目(JAT170807
JAT170812)
厦门工学院科研项目(KY2017004
KY2017009)
