积分算子下调和映照的单叶半径估计  

Estimation of Univalent Radius for Harmonic Mappings Under Integral Operator

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)

机构地区：[1]厦门工学院计算机与人工智能学院,福建厦门361021

出　　处：《数学的实践与认识》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)

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.

关 键 词：积分算子 调和映照 Landau定理 单叶半径 

分 类 号：O177.6[理学—数学]