Sharp (p,q) ranges for convolution bounds with measures in P_{alpha,beta} are determined via constructions that also sharpen L^2 restriction estimates uniformly across regimes and dimensions.
Chen, A Fourier restriction theorem based on convolution powers,Proc
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Sharpness of convolution bounds for measures
Sharp (p,q) ranges for convolution bounds with measures in P_{alpha,beta} are determined via constructions that also sharpen L^2 restriction estimates uniformly across regimes and dimensions.