Two bounds for the x-ray transform

Details Two bounds for the x-ray transform Two bounds for the x-ray transform

2006-10-30

arxiv.org/abs/math/0610942v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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