紧Lie群上Fourier级数的球平均饱和类(Ⅰ)

The saturation classes of Fourier series on compact Lie groups by spherical means(Ⅰ)

函数空间中有界线性算子的饱和类是逼近论中经常考虑的问题．给出了紧Ｌｉｅ群上线性球型平均算子饱和的一些条件及饱和类刻划的一般方法．

The main purpose of this paper is to establish some conditions for the saturation of summation of Fourier series on compact Lie groups by spherical means.By using this method,we can assert that some spherical means are saturated.