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Restriction results for multilinear multipliers on weighted settings

Published 2 Apr 2013 in math.FA and math.AP | (1304.0663v1)

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.

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