单叶调和映射的线性极值问题

摘要

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.%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.