Sharp L^p bounds for the cone multipliers
Sanghyuk Lee,
(Seoul National University)
Martes 19 de febrero 2013
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 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.