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On restriction of maximal multipliers in weighted settings
Authors:
María J. Carro and Salvador Rodríguez-López
Journal:
Trans. Amer. Math. Soc. 364 (2012), 2241-2260
MSC (2010):
Primary 42B15, 42B35
Posted:
January 19, 2012
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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 spaces with . Applications to the case of Hörmander-Mihlin multipliers, singular integral operators and Bochner-Riesz sums are given.
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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
DOI:
http://dx.doi.org/10.1090/S0002-9947-2012-05598-X
PII:
S 0002-9947(2012)05598-X
Keywords:
Weighted $L^{p}$ spaces,
Fourier multipliers
Received by editor(s):
July 13, 2009
Posted:
January 19, 2012
Additional Notes:
This work was partially supported by MTM2010-14946. The second author was also partially supported by EP/H051368/1
Article copyright:
© Copyright 2012 American Mathematical Society
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