Abstract
For n≥4, let S be a flat hypersurface in Rn, and let dμ=ψdσ, where ψ∈C∞0(Rn) and σ is the surface area measure on S. Then the maximal functions Mf associated to S and μ by Mf(x)=supt>0|∫Sf(x−tξ)dμ(ξ)|, f∈S(Rn), are bounded on certain Orlicz spaces LΦ(Rn).
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