119 citations · 1k across the 83 of their papers we have counts for
8 papers · 1 filter
Sharp Lorentz space estimates for rough operators
Andreas Seeger, Terence Tao
We demonstrate the or mapping properties of several rough operators. In all cases these estimates are sharp in the sense that the Lorentz exponent 2…
A converse extrapolation theorem for translation invariant operators
Terence Tao
We prove the converse of Yano's extrapolation theorem for translation invariant operators.
Multi-linear operators given by singular multipliers
Camil Muscalu, Terence Tao, Christoph Thiele
We prove L^p estimates for a large class of multi-linear operators, which includes the multi-linear paraproducts studied by Coifman and Meyer, as well as the bilinear Hilbert trans…
An x-ray estimate in
Izabella Laba, Terence Tao
We prove an x-ray estimate in general dimension which is stronger than the Kakeya estimates of Wolff. This generalizes an x-ray estimate in three dimensions which is also due to Wo…
Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates
Terence Tao
Recently Wolff obtained a nearly sharp bilinear restriction theorem for bounded subsets of the cone in general dimension. We obtain the endpoint of Wolff's estimate and gener…
A new bound on partial sum-sets and difference-sets, and applications to the Kakeya conjecture
Nets Hawk Katz, Terence Tao
Let , be finite subsets of an abelian group, and let be such that $# A, # B, # \{a+b: (a,b) \in G \} \leq N$. We consider the question of estimating th…