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arXiv · 2208.10355

On Fractional Integrals Generated by Radon Transforms over Paraboloids

Boris Rubin
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Abstract

We apply the Fourier transform technique and a modified version of E. Stein's interpolation theorem communicated by L. Grafakos, to obtain sharp $L^p$-$L^q$ estimates for the Radon transform and more general convolution-type fractional integrals with the kernels having singularity on the paraboloids.

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Boris Rubin. 2022-08-22. On Fractional Integrals Generated by Radon Transforms over Paraboloids. https://arxiv.org/abs/2208.10355

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