Multilinear Weighted Convolution of L Functions, and Applications to Non-linear Dispersive Equations

@inproceedings{Tao2000MultilinearWC,
title={Multilinear Weighted Convolution of L Functions, and Applications to Non-linear Dispersive Equations},
author={Terence Tao},
year={2000}
}

The X s,b spaces, as used by Beals, Bourgain, Kenig-Ponce-Vega, Klainerman-Machedon and others, are fundamental tools to study the low-regularity behaviour of non-linear dispersive equations. It is of particular interest to obtain bilinear or multilinear estimates involving these spaces. By Plancherel's theorem and duality, these estimates reduce to estimating a weighted convolution integral in terms of the L 2 norms of the component functions. In this paper we systematically study weighted… CONTINUE READING