Sharp $L^p$ bounds for the cone multipliers
主 题: Sharp $L^p$ bounds for the cone multipliers
报告人: Sanghyuk Lee (Seoul National University)
时 间: 2012-12-19 16:00-17:00
地 点: 理科一号楼1303
We consider the problem of $L^p$ bounds for the cone multiplier operators
and prove the sharp $L^3$ bounds for the cone multiplier in $\\mathbb R^3$
and the associated square function which is known as Mockenhaupt\'s square
function. The results are obtained by an adaptation of recent
Bourgain-Guth’s argument for restriction estimates which relies on the
multilinear restriction theorem due to Bennett-Carbery-Tao. This talk is
based on a joint work with Ana Vargas.
