Riesz空间中具不完全信息函数的L_q(R^m)最优恢复(英文)

L_q(R^m)─OPTIMAL RECOVERY ON THE RIESZ POTENTIAL SPACES WITH INCOMPLETE INFORMATION

研究了Riesz空间中函数用其具一定分布条件的无穷点集上函数值的恢复问题，并且建立了相应量的弱渐近估计．

It is studied that the problem of best accuracy in recovering functions from their values at infinite points with certain scattering condition. The weak asymptotic behavior is established for the corresponding quantities.