Two bounds for the x-ray transform
Classical Analysis and ODEs
2007-05-23 v1
Abstract
We use the arithmetic-combinatorial method of Katz and Tao to give mixed-norm estimates for the x-ray transform on R^d when d \geq 4. As an application, we obtain an improved estimate for the Hausdorff dimension of (d,k) sets, which are subsets of R^d containing a translate of every k-plane.
Keywords
Cite
@article{arxiv.math/0610942,
title = {Two bounds for the x-ray transform},
author = {Richard Oberlin},
journal= {arXiv preprint arXiv:math/0610942},
year = {2007}
}