Two bounds for the x-ray transform
Richard Oberlin
Abstract
We use the arithmetic-combinatorial method of Katz and Tao to give mixed-norm estimates for the x-ray transform on Rd when d ≥ 4. As an application, we obtain an improved estimate for the Hausdorff dimension of (d,k) sets, which are subsets of Rd containing a translate of every k-plane.
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