L. Guth

activity

20052026

most citedOn the Erdos distinct distance problem in the plane

105 citations · 592 across the 57 of their papers we have counts for

collaborators

Showing 2023 · math.CAShow all

3 papers · 2 filters

math.CA2023

A sharp square function estimate for the moment curve in $R^{n}$

Larry Guth, Dominique Maldague

We use high-low frequency methods developed in the context of decoupling to prove sharp (up to $C_{ε} R^{ε}$ ) square function estimates for the moment curve $(t, t^{2}, \dots, t^{n})$ in $\ma…

math.CA2023

Restriction estimates for quadratic manifolds of arbitrary codimensions

Shengwen Gan, Larry Guth, Changkeun Oh

The restriction conjecture is one of the famous problems in harmonic analysis. There have been many methods developed in the study of the conjecture for the paraboloid. In this pap…

math.CA2023★ 1 cited

Small cap decoupling for the paraboloid in $R^{n}$

Larry Guth, Dominique Maldague, Changkeun Oh

We extend the small cap decoupling program established by Demeter, Guth, and Want to paraboloids in $R^{n}$ for some range of $p$ .

A sharp square function estimate for the moment curve in Rn

Restriction estimates for quadratic manifolds of arbitrary codimensions

Small cap decoupling for the paraboloid in Rn

A sharp square function estimate for the moment curve in $R^{n}$

Small cap decoupling for the paraboloid in $R^{n}$