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.References
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Additional Information
- María J. Carro
- Affiliation: Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08007 Barcelona, Spain
- Email: carro@ub.edu
- Salvador Rodríguez-López
- Affiliation: Department of Mathematics, Uppsala University, Upssala, SE 75106, Sweden
- Email: salvador@math.uu.se
- Received by editor(s): July 13, 2009
- Published electronically: January 19, 2012
- Additional Notes: This work was partially supported by MTM2010-14946. The second author was also partially supported by EP/H051368/1
- © Copyright 2012 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 364 (2012), 2241-2260
- MSC (2010): Primary 42B15, 42B35
- DOI: https://doi.org/10.1090/S0002-9947-2012-05598-X
- MathSciNet review: 2888205