276 citations · 4.5k across the 293 of their papers we have counts for
58 papers · 1 filter
Adjoint Brascamp-Lieb inequalities
Jonathan Bennett, Terence Tao
The Brascamp-Lieb inequalities are a generalization of the Hölder, Loomis-Whitney, Young, and Finner inequalities that have found many applications in harmonic analysis and elsewhe…
Additive energy of regular measures in one and higher dimensions, and the fractal uncertainty principle
Laura Cladek, Terence Tao
We obtain new bounds on the additive energy of (Ahlfors-David type) regular measures in both one and higher dimensions, which implies expansion results for sums and products of the…
The structure of translational tilings in
Rachel Greenfeld, Terence Tao
We obtain structural results on translational tilings of periodic functions in by finite tiles. In particular, we show that any level one tiling of a periodic set in…
Exploring the toolkit of Jean Bourgain
Terence Tao
Gian-Carlo Rota once asserted that "every mathematician only has a few tricks". The sheer breadth and ingenuity in the work of Jean Bourgain may at first glance appear to be a coun…
The Ionescu--Wainger multiplier theorem and the adeles
Terence Tao
The Ionescu--Wainger multiplier theorem establishes good bounds for Fourier multiplier operators localized to major arcs; it has become an indispensible tool in discrete harm…
Sharp bounds for multilinear curved Kakeya, restriction and oscillatory integral estimates away from the endpoint
Terence Tao
We revisit the multilinear Kakeya, curved Kakeya, restriction, and oscillatory integral estimates that were obtained in paper of Bennett, Carbery, and the author using a heat flow…