Restriction results for multilinear multipliers on weighted settings

2013/04/02 by Rodríguez-López, Salvador
#42B15 #42B35 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1304.0663

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, Hörmander and Hörmander-Mihlin type multilinear multipliers.

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