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Wavelet multipliers on 
Author(s):
Yu
Liu;
Alip
Mohammed;
M.
W.
Wong
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1009-1018.
MSC (2000):
Primary 47G10, 47G30
Posted:
November 23, 2007
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Abstract:
We give results on the boundedness and compactness of wavelet multipliers on  .
References:
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 boundedness and compactness of localization operators, J. Math. Anal. Appl. 322 (2006), 193-206. MR 2239231 (2007e:42025) - 3.
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 for the Weyl-Heisenberg group, Integral Equations Operator Theory 49 (2004), 1-10. MR 2057765 (2005b:47104) - 4.
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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:
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
Posted:
November 23, 2007
Additional Notes:
This research was supported by the Natural Sciences and Engineering Research Council of Canada.
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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