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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Wavelet multipliers on $ L^p(\mathbb{R}^n)$


Authors: Yu Liu, Alip Mohammed and M. W. Wong
Journal: Proc. Amer. Math. Soc. 136 (2008), 1009-1018
MSC (2000): Primary 47G10, 47G30
Published electronically: November 23, 2007
MathSciNet review: 2361875
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Abstract: We give results on the boundedness and compactness of wavelet multipliers on $ L^p(\mathbb{R}^n),\,1\leq p\leq \infty$.


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Additional Information

Yu Liu
Affiliation: Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada

Alip Mohammed
Affiliation: Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada

M. W. Wong
Affiliation: Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada

DOI: http://dx.doi.org/10.1090/S0002-9939-07-09052-1
PII: S 0002-9939(07)09052-1
Keywords: Fourier multipliers, wavelet multipliers, localization operators, Hilbert--Schmidt operators, $L^p$-boundedness, $L^p$-compactness
Received by editor(s): August 28, 2006
Received by editor(s) in revised form: December 16, 2006
Published electronically: November 23, 2007
Additional Notes: This research was supported by the Natural Sciences and Engineering Research Council of Canada.
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.