A trilinear approach to square function and local smoothing estimates for the wave operator

28 May 2018  ·  Lee Jungjin ·

The purpose of this paper is to improve the known estimates for Mockenhaupt's square function in $\mathbb R^3$ and for Sogge's local smoothing in $\mathbb R^{2+1}$ spacetime. For this we use the trilinear approach of S. Lee and A. Vargas for the cone multiplier with some trilinear estimates obtained from the $\ell^2$ decoupling theorem and multilinear restriction theorem...

PDF Abstract
No code implementations yet. Submit your code now

Categories


Classical Analysis and ODEs