Two bounds for the X-ray transform

Richard Oberlin

Type: Article

Publication Date: 2009-08-10

Citations: 10

DOI: https://doi.org/10.1007/s00209-009-0589-5

Abstract

We use the arithmetic-combinatorial method of Katz and Tao to give mixed-norm estimates for the X-ray transform on $${\mathbb {R}^d}$$ when d ≥ 4.

Locations

Mathematische Zeitschrift - View - PDF

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+	Besicovitch type maximal operators and applications to fourier analysis	1991	Jean Bourgain
+	Packing planes in ℝ <sup>3</sup>	1979	J. M. Marstrand