Larry Guth

activity

20162023

most citedSmall cap decoupling for the moment curve in

R^{3}

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

cs.DS2023

Estimating the matrix $p \to q$ norm

Larry Guth, Dominique Maldague, John Urschel

The matrix $p \to q$ norm is a fundamental quantity appearing in a variety of areas of mathematics. This quantity is known to be efficiently computable in only a few specia…

math.CA2022★ 2 cited

Small cap decoupling for the moment curve in $R^{3}$

Larry Guth, Dominique Maldague

We prove sharp small cap decoupling estimates for the moment curve in $R^{3}$ . Our formulation of the small caps is motivated by a conjecture about $L^{p}$ estimates for expon…

math.CA2016

A sharp Schrodinger maximal estimate in $R^{2}$

Xiumin Du, Larry Guth, Xiaochun Li

We show that $lim_{t \to 0} e^{i t Δ} f (x) = f (x)$ almost everywhere for all $f \in H^{s} (R^{2})$ provided that $s > 1/3$ . This result is sharp up to the endpoint. The proof uses…

Estimating the matrix p→q norm

Small cap decoupling for the moment curve in R3

A sharp Schrodinger maximal estimate in R2

Estimating the matrix $p \to q$ norm

Small cap decoupling for the moment curve in $R^{3}$

A sharp Schrodinger maximal estimate in $R^{2}$