On restriction of maximal multipliers in weighted settings

Carro, María; Rodríguez-López, Salvador

doi:10.1090/S0002-9947-2012-05598-X

On restriction of maximal multipliers in weighted settings
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by María J. Carro and Salvador Rodríguez-López PDF

Trans. Amer. Math. Soc. 364 (2012), 2241-2260 Request permission

Abstract:

We obtain restriction results of K. De Leeuw’s type for maximal operators defined through Fourier multipliers of either strong or weak type for weighted $L^p$ spaces with $1\le p<\infty$. Applications to the case of Hörmander-Mihlin multipliers, singular integral operators and Bochner-Riesz sums are given.

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