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TRACE CLASS NORM INEQUALITIES FOR WAVELET MULTIPLIERS

Published online by Cambridge University Press:  24 March 2003

M. W. WONG  and
ZHAOHUI ZHANG
M. W. WONG
Affiliation:
Department of Mathematics, and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada mwwong@pascal.math.yorku.ca, zhangzha@mathstat.yorku.ca
ZHAOHUI ZHANG
Affiliation:
Department of Mathematics, and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada mwwong@pascal.math.yorku.ca, zhangzha@mathstat.yorku.ca
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Abstract

In this paper, the authors give sharp estimates on the norms in the trace class of wavelet multipliers $P_{\sigma\varphi}:L^2({\bb R}^n) \longrightarrow L^2({\bb R}^n)$ in terms of the symbols $\sigma$ and the admissible wavelets $\varphi$.

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Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 6 , November 2002 , pp. 739 - 744
Copyright
© The London Mathematical Society 2002

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Footnotes

This research has been partially supported by the Natural Sciences and Research Council of Canada under Grant OGP0008562.