On Fractional Integrals Generated by Radon Transforms over Paraboloids

2022/08/22 by Rubin, Boris
#42B20 #44A12 #47G10 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2208.10355

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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