119 citations · 463 across the 37 of their papers we have counts for
12 papers · 1 filter
L^p bounds for a maximal dyadic sum operator
Loukas Grafakos, Terence Tao, Erin Terwilleger
We prove bounds in the range for a maximal dyadic sum operator on $\rn$. This maximal operator provides a discrete multidimensional model of Carleson's operator.…
On a problem by Arens, Goldberg, and Luxemburg
Raymond Redheffer, Terence Tao
We construct a normed algebra ${\calA}$ with norm over the reals, which is {\em quadrative} in the sense that for all , but is not 3-…
Polynomial upper bounds for the instability of the Nonlinear Schrödinger equation below the energy norm
J. Colliander, M. Keel, G. Staffilani +2
We continue the study (initiated in \cite{ckstt:7}) of the orbital stability of the ground state cylinder for focussing non-linear Schrödinger equations in the norm for…
A sharp bilinear restriction estimate for paraboloids
Terence Tao
Recently Wolff obtained a sharp bilinear restriction theorem for bounded subsets of the cone in general dimension. Here we adapt the argument of Wolff to also handle subsets…
A singularity removal theorem for Yang-Mills fields in higher dimensions
Terence Tao, Gang Tian
In four and higher dimensions, we show that any stationary admissible Yang-Mills field can be gauge transformed to a smooth field if the norm of the curvature is sufficiently…
Bochner-Riesz summability for analytic functions on the m-complex unit sphere and for cylindrically symmetric functions on R^{n-1} times R
Adam Sikora, Terence Tao
We prove that spectral projections of Laplace-Beltrami operator on the m-complex unit sphere E_{Delta_{S^{2m-1}}}([0,R)) are uniformly bounded as an operator from H^p(S^{2m-1}) to…