English

A note on restricted X-ray transforms

Classical Analysis and ODEs 2015-05-13 v1

Abstract

We show how the techniques introduces by Christ can be employed to derive endpoint LpLqL^p-L^q bounds for the X-ray transform associated to the line complex generated by the curve t(t,t2,...,td1).t\to(t,t^2,...,t^{d-1}). Almost-sharp Lorentz space estimates are produced as well.

Cite

@article{arxiv.0712.3477,
  title  = {A note on restricted X-ray transforms},
  author = {Norberto Laghi},
  journal= {arXiv preprint arXiv:0712.3477},
  year   = {2015}
}

Comments

11 pages

R2 v1 2026-06-21T09:56:21.045Z