276 citations · 4.5k across the 293 of their papers we have counts for
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A counterexample to a multilinear endpoint question of Christ and Kiselev
Camil Muscalu, Terence Tao, Christoph Thiele
Christ and Kiselev have established that the generalized eigenfunctions of one-dimensional Dirac operators with potential are bounded for almost all energies for .…
Carleson measures, trees, extrapolation, and theorems
Pascal Auscher, Steve Hofmann, Camil Muscalu +2
The theory of Carleson measures, stopping time arguments, and atomic decompositions has been well-established in harmonic analysis. More recent is the theory of phase space analysi…
improving bounds for averages along curves
Terence Tao, Jim Wright
We establish local mapping properties for averages on curves. The exponents are sharp except for endpoints.
Uniform estimates on multi-linear operators with modulation symmetry
Camil Muscalu, Terence Tao, Christoph Thiele
We prove uniform bounds for multilinear operators which are given by multipliers whose symbols are singular on a one dimensional subspace. The novelty is that these bounds ar…
Uniform estimates on paraproducts
Camil Muscalu, Terence Tao, Christoph Thiele
We prove uniform estimates for a family of paraproducts and corresponding maximal operators.
New bounds on Kakeya problems
Nets Katz, Terence Tao
We establish new estimates on the Minkowski and Hausdorff dimensions of Besicovitch sets and obtain new bounds on the Kakeya maximal operator.
estimates for the biest II. The Fourier case
Camil Muscalu, Terence Tao, Christoph Thiele
We prove L^p estimates for the "biest", a trilinear multiplier with singular symbol which arises naturally in the expansion of eigenfunctions of a Schrodinger operator, and which i…
estimates for the biest I. The Walsh case
Camil Muscalu, Terence Tao, Christoph Thiele
We prove L^p estimates for the Walsh model of the "biest", a trilinear multiplier with singular symbol which arises naturally in the expansion of eigenfunctions of a Schrodinger op…
Some connections between Falconer's distance set conjecture, and sets of Furstenburg type
Nets Hawk Katz, Terence Tao
In this paper we investigate three unsolved conjectures in geometric combinatorics, namely Falconer's distance set conjecture, the dimension of Furstenburg sets, and Erdos's ring c…