Compactness of a restricted X-ray transform
Classical Analysis and ODEs
2025-02-12 v2
Abstract
We show that the X-ray transform with directions restricted along the moment curve possesses extremizers and that -normalized extremizing sequences are precompact modulo symmetry. Our approach advances the Lorentz space method of Christ to a mixed norm Lebesgue space setting.
Keywords
Cite
@article{arxiv.2009.01889,
title = {Compactness of a restricted X-ray transform},
author = {Chandan Biswas},
journal= {arXiv preprint arXiv:2009.01889},
year = {2025}
}
Comments
Rewritten, results unchanged