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

  title={A trilinear approach to square function and local smoothing estimates for the wave operator},
  author={Jungjin Lee},
  journal={arXiv: Classical Analysis and ODEs},
  • Jungjin Lee
  • Published 2016
  • Mathematics
  • arXiv: Classical Analysis and ODEs
The purpose of this paper is to improve Mockenhaupt's square function estimate and Sogge's local smoothing estimate in $\mathbb R^3$. For this we use the trilinear approach of S. Lee and A. Vargas for the cone multiplier and some trilinear estimates obtained from the $l^2$-decoupling theorem and multilinear restriction theorem. 

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