119 citations · 463 across the 37 of their papers we have counts for
38 papers · 1 filter
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…
Multi-parameter paraproducts
Camil Muscalu, Jill Pipher, Terence Tao +1
We prove that the classical Coifman-Meyer theorem holds on any polydisc $\T^d$ of arbitrary dimension .
Near Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
Emmanuel Candes, Terence Tao
Suppose we are given a vector in . How many linear measurements do we need to make about to be able to recover to within precision in the Euclidean ()…
The Bi-Carleson operator
Camil Muscalu, Terence Tao, Christoph Thiele
We prove estimates for the Bi-Carleson operator, which is a natural hybrid of the Carleson maximal operator and the bilinear Hilbert transform. The methods used are essential…
Recent progress on the restriction conjecture
Terence Tao
The purpose of these notes is describe the state of progress on the restriction problem in harmonic analysis, with an emphasis on the developments of the past decade or so on the E…