L_2-Optimal Recovery on the Riesz Potential Spaces

在L_2(R^n)尺度下的Riesz位势空间上的最优恢复(英文)

The problems of best reconstruction of multivariate functions of the Riesz potential spaces from their values on a given mesh are considered, and the exact results of some classes of L_2(R^n) (and L_2(Q^n)) defined by the Riesz potential are obtained.

考虑了Ｒｉｅｓｚ位势空间在给定网格上赋值的多元函数的重构问题，并且得到了Ｌ_２（Ｒ~ｎ）中由Ｒｉｅｓｚ位势确定的一些函数类上的精确结果。