Two Bounds for the X-ray Transform

نویسنده

  • RICHARD OBERLIN
چکیده

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

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تاریخ انتشار 2006