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math.CA2005★ 4 cited
On the Multilinear Restriction and Kakeya conjectures
Jonathan Bennett, Anthony Carbery, Terence Tao
We prove -linear analogues of the classical restriction and Kakeya conjectures in . Our approach involves obtaining monotonicity formulae pertaining to a certain evolution…
math.CA2005★ 1 cited
Finite bounds for Holder-Brascamp-Lieb multilinear inequalities
Jonathan Bennett, Anthony Carbery, Michael Christ +1
A criterion is established for the validity of multilinear inequalities of a class considered by Brascamp and Lieb, generalizing well-known inequalities of Holder, Young, and Loomi…