119 citations · 1k across the 83 of their papers we have counts for
6 papers · 2 filters
Some light on Littlewood-Paley theory
Michael Cowling, Terence Tao
The purpose of this note is to correct an error in a paper of M. Cowling, G. Fendler and J.J.F. Fournier, and to give a counterexample to a conjecture of J.-L. Rubio de Francia.
Recent progress on the Kakeya conjecture
Nets Katz, Terence Tao
The purpose of this article is to survey the developments on the Kakeya problem in recent years, concentrating on the period after the excellent 1999 survey of Wolff, and including…
From rotating needles to stability of waves; emerging connections between combinatorics, analysis and PDE
Terence Tao
We survey the interconnections between geometric combinatorics (such as the Kakeya problem), arithmetic combinatorics (such as the classical problem of determining which sets conta…
An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension
Izabella Laba, Terence Tao
We use geometrical combinatorics arguments, including the ``hairbrush'' and x-ray arguments of Wolff and the sticky/plany/grainy analysis of Katz, Laba, and Tao, to show that Besic…
Endpoint multiplier theorems of Marcinkiewicz type
Terence Tao, Jim Wright
We establish sharp (H^1, L^{1,q}) and local (L \log^r L, L^{1,q}) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marci…
A remark on circular means of Fourier transforms of measures
Terence Tao
In a recent paper of Wolff the optimal decay of circular L^p means of compactly supported measures of finite energy was given for p>=2, with application to Falconer's distance prob…