二元函数空间上线性算子在H_ω上的逼近定理

An Approximation Theorem for Linear Operators on H_ω in Space of Two-variate Function

文中旨在建立线性算子在二元连续函数空间的子空间H:上的逼近定理。

Suppose ω(t) is a increasing continuous function on [0,1] with ω(0)=0. If for some 0<α<2, there is a c> such that for 0<t1<t2<1, we haveLetwhereIn this paper, we give an approximation theorem of linear operators for Hω space.