On fractional integrals generated by Radon transforms over paraboloids

Document Type

Article

Publication Date

5-1-2023

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{p}} - L q {L{q}} estimates for the Radon transform and more general convolution-type fractional integrals with the kernels having singularity on the paraboloids.

Publication Source (Journal or Book title)

Forum Mathematicum

First Page

863

Last Page

881

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