A bilinear approach to the restriction and Kakeya conjectures

Tao, Terence; Vargas, Ana; Vega, Luis

doi:10.1090/S0894-0347-98-00278-1

A bilinear approach to the restriction
and Kakeya conjectures

Authors: Terence Tao, Ana Vargas and Luis Vega
Journal: J. Amer. Math. Soc. 11 (1998), 967-1000
MSC (1991): Primary 42B10, 42B25
DOI: https://doi.org/10.1090/S0894-0347-98-00278-1
MathSciNet review: 1625056
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Abstract: Bilinear restriction estimates have appeared in work of Bourgain, Klainerman, and Machedon. In this paper we develop the theory of these estimates (together with the analogues for Kakeya estimates). As a consequence we improve the spherical restriction theorem of Wolff from to , and also obtain a sharp spherical restriction theorem for $q> 4 - \frac{5}{27}$ .

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