English

Fractional Integrals Associated with Radon Transforms

Functional Analysis 2022-08-22 v1

Abstract

We obtain sharp norm estimates for fractional integrals generated by Radon transforms of three types in the n-dimensional real Euclidean space. The method relies on recent interpolation results for analytic families of operators.

Keywords

Cite

@article{arxiv.2208.09080,
  title  = {Fractional Integrals Associated with Radon Transforms},
  author = {Boris Rubin},
  journal= {arXiv preprint arXiv:2208.09080},
  year   = {2022}
}

Comments

48 pages

R2 v1 2026-06-25T01:48:35.405Z