English

Restriction results for multilinear multipliers on weighted settings

Functional Analysis 2013-04-03 v1 Analysis of PDEs

Abstract

We obtain restriction results of K. de Leeuw's type for maximal operators defined through multilinear Fourier multipliers of either strong or weak type acting on weighted Lebesgue spaces. We give some application of our development. In particular we obtain periodic weighted results for Coifman-Meyer, H\"ormander and H\"ormander-Mihlin type multilinear multipliers.

Keywords

Cite

@article{arxiv.1304.0663,
  title  = {Restriction results for multilinear multipliers on weighted settings},
  author = {Salvador Rodríguez-López},
  journal= {arXiv preprint arXiv:1304.0663},
  year   = {2013}
}