The endpoint case of the Bennett-Carbery-Tao multilinear Kakeya conjecture

Abstract

Bennett, Carbery, and Tao formulated an n-linear analogue of the Kakeya conjecture in R^n. They proved the conjecture except for the endpoint case. We prove the endpoint case.

arXiv comment15 pages. Exposition improved. Accepted for publication in Acta Mathematica

References in corpus (4)

• On the size of Kakeya sets in finite fields
• Isoperimetric inequalities and rational homotopy invariants
• Directional isoperimetric inequalities and rational homotopy invariants
• Minimax problems related to cup powers and Steenrod squares

Cited by in corpus (1)

• Algebraic Methods in Discrete Analogs of the Kakeya Problem