Restriction results for multilinear multipliers on weighted settings
classification
🧮 math.FA
math.AP
keywords
multilinearmultipliersresultstypeweightedobtainrestrictionacting
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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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