English

$L^p$ improving multilinear Radon-like transforms

Classical Analysis and ODEs 2017-10-24 v1

Abstract

We characterize (up to endpoints) the kk-tuples (p1,,pk)(p_1,\ldots,p_k) for which certain kk-linear generalized Radon transforms map Lp1××LpkL^{p_1} \times \cdots \times L^{p_k} boundedly into R\mathbb R. This generalizes a result of Tao and Wright.

Keywords

Cite

@article{arxiv.1710.07673,
  title  = {$L^p$ improving multilinear Radon-like transforms},
  author = {Betsy Stovall},
  journal= {arXiv preprint arXiv:1710.07673},
  year   = {2017}
}

Comments

This is a preprint version of a published article. The final version is in Rev. Mat. Ibero. 27 (2011), no. 3, 1059-1085

R2 v1 2026-06-22T22:20:55.730Z