A Sharp Bilinear Cone Restriction Estimate

By T. Wolff. 2001

114 citations recorded by the source corpus.

The purpose of this paper is to prove an essentially sharp L^2 Fourier restriction estimate for light cones, of the type which is called bilinear in the recent literature.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5804e23743e962f4af8b6b747b425f41654a81a1

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In Applied Mathematics

In Mathematical Physics

Citations in the corpus

Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (2016, background): “In particular one can mention milestone papers by Bourgain [3], Wolff [27], Tao [23], Bennett, Carbery, and Tao [2], Bourgain and Guth [4], and Guth [11] which also contain further important references.”
Recent progress on the Kakeya conjecture (2000, background): “We will focus on the standard Kakeya problem for line segments and not discuss other important variants (such as Kakeya estimates for circles, light rays, or k-planes; see e.g. [22], [ 26 ], [27], [9]).”
A sharp square function estimate for the cone in ℝ3 (2019, background): “Mockenhaupt, Seeger, and Sogge [20] proved that (1) holds for p = 4 with α > 1/8, and this was improved afterwards by several authors ([24], [27], [17]).”
Restriction and Kakeya phenomena for finite fields (2002, background): “However, it may well be that the large body of work on the Euclidean cone restriction problem ([9], [31], [48], [43], etc.”