4 citations · 7 across the 3 of their papers we have counts for
3 papers
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…
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…
The Brascamp-Lieb inequalities: finiteness, structure, and extremals
Jonathan Bennett, Anthony Carbery, Michael Christ +1
We consider the Brascamp--Lieb inequalities concerning multilinear integrals of products of functions in several dimensions. We give a complete treatment of the issues of finitenes…