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arXiv · 1607.08426

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

Jungjin Lee
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Abstract

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.

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Jungjin Lee. 2016-07-28. A trilinear approach to square function and local smoothing estimates for the wave operator. https://arxiv.org/abs/1607.08426

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