Mathematics – Classical Analysis and ODEs
Scientific paper
2011-11-08
Mathematics
Classical Analysis and ODEs
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.
Dendrinos Spyridon
Stovall Betsy
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