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Let μ be a measure on the upper half-space R+n+1,and v a weight on Rn,we give a characterization for the pair (v,μ) such that ||μ(fv)||L(μ)≤c||f||L(μ)where is an N-function satisfying Δ2 condition and uf(x,t) is the maximal function on R+n+1, which was in