Fractional integrals associated with Radon transforms

Document Type

Article

Publication Date

11-1-2023

Abstract

We obtain sharp Lp-Lq estimates for fractional integrals generated by Radon transforms of the following three types: The classical Radon transform over the set of all hyperplanes in ℝn, the Strichartz transversal transform over only those hyperplanes which meet the last coordinate axis, and the Radon transform associated with paraboloids. The method relies on a version of Stein's interpolation theorem for analytic families of operators communicated by L. Grafakos.

Publication Source (Journal or Book title)

Forum Mathematicum

First Page

1727

Last Page

1759

This document is currently not available here.

Share

COinS