A sharp square function estimate for the cone in ${\mathbb{R}}^3$

Abstract

We prove a sharp square function estimate for the cone in ${\mathbb{R}}^3$ and consequently the local smoothing conjecture for the wave equation in $2+1$ dimensions.

arXiv commentReferee's suggestions incorporated

References in corpus (2)

• On the dimension and smoothness of radial projections
• Mean square of zeta function, circle problem and divisor problem revisited