Wavelet multipliers on

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 | References | Similar Articles | Additional Information

Abstract: We give results on the boundedness and compactness of wavelet multipliers on .

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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

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.