摘要
利用线性极值问题有解的必要条件,研究了从单位圆盘到自身的单叶调和映射的傅立叶系数,得到其确界估计.
Making use of the necessary conditions for the solutions to linear extremal problems, Fourier coefficients of univalent harmonic mappings which map the unit disk onto itself are studied. Sharp bounds for Fourier coefficients are established for univalent harmonic mappings of the unit disk onto itself.
出处
《数学进展》
CSCD
北大核心
2005年第4期455-460,共6页
Advances in Mathematics(China)
基金
This work is supported by the NSFC(No. 10271093)
关键词
单叶调和映射
圆周映射
连续线性泛函
univalent harmonic mappings
circle mappings
continuous linear functionals