On Fractional Integrals Generated by Radon Transforms over Paraboloids
Abstract
We apply the Fourier transform technique and a modified version of E. Stein's interpolation theorem communicated by L. Grafakos, to obtain sharp Lp-Lq estimates for the Radon transform and more general convolution-type fractional integrals with the kernels having singularity on the paraboloids.
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