276 citations · 4.5k across the 293 of their papers we have counts for
16 papers · 1 filter
Puzzles and (equivariant) cohomology of Grassmannians
Allen Knutson, Terence Tao
We generalize our puzzle formula for ordinary Schubert calculus on Grassmannians, to a formula for the T-equivariant Schubert calculus. The structure constants to be calculated are…
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…