Uniform estimates for the X-ray transform restricted to polynomial curves

Mathematics – Classical Analysis and ODEs

Scientific paper

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29 pgs. Corrected typos, added more explanation for some inequalities

Scientific paper

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.

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