Article ID Journal Published Year Pages File Type
4591167 Journal of Functional Analysis 2012 35 Pages PDF
Abstract

We establish near-optimal mixed norm estimates for the X-ray transform restricted to polynomial curves with a weight that is a power of the affine arclength. The bounds that we establish depend only on the spatial dimension and the degree of the polynomial. Some of our results are new even in the well-curved case.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory