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Let 0<k<n,and k-dinensional object S∪→R^n,Also,S will come with a nonnegative Radon measure u on R^n such that suppr=S.Define the Fouriner restriction operator T by Tf(x)=f(x)|x∈s Then ‖Tf‖L^p(dt)≤C‖f‖L^2(v,R^n) holds for all f ∈C0^∈（R^n) and some