On Fractional Integrals Generated by Radon Transforms over Paraboloids
Functional Analysis
2022-08-23 v1
Abstract
We apply the Fourier transform technique and a modified version of E. Stein's interpolation theorem communicated by L. Grafakos, to obtain sharp - estimates for the Radon transform and more general convolution-type fractional integrals with the kernels having singularity on the paraboloids.
Keywords
Cite
@article{arxiv.2208.10355,
title = {On Fractional Integrals Generated by Radon Transforms over Paraboloids},
author = {Boris Rubin},
journal= {arXiv preprint arXiv:2208.10355},
year = {2022}
}
Comments
27 pages. arXiv admin note: text overlap with arXiv:2208.09080