119 citations · 609 across the 53 of their papers we have counts for
14 papers · 1 filter
Multilinear interpolation between adjoint operators
Loukas Grafakos, Terence Tao
Multilinear interpolation is a powerful tool used in obtaining strong type boundedness for a variety of operators assuming only a finite set of restricted weak-type estimates. A ty…
Multilinear estimates for periodic KdV equations and applications
Jim Colliander, Markus Keel, Gigliola Staffilani +2
We prove an endpoint multilinear estimate for the spaces associated to the periodic Airy equation. As a consequence we obtain sharp local well-posedness results for perio…
A refined global well-posedness result for Schrodinger equations with derivative
J. Colliander, M. Keel, G. Staffilani +2
In this paper we prove that the 1D Schrödinger equation with derivative in the nonlinear term is globally well-posed in , for for data small in . To under…
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.