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Wavelet decomposition of Calderón-Zygmund operators on function spaces

Part of: Harmonic analysis in several variables

Published online by Cambridge University Press:  09 April 2009

Ka-Sing Lau  and
Lixin Yan
Ka-Sing Lau
Affiliation:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong e-mail: [email protected]
Lixin Yan
Affiliation:
Department of Mathematics, Zhongshan University, Guangzhou, 510275, P. R. China e-mail: [email protected]
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Abstract

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We make use of the Beylkin-Coifman-Rokhlin wavelet decomposition algorithm on the Calderón-Zygmund kernel to obtain some fine estimates on the operator and prove the T(l) theorem on Besov and Triebel-Lizorkin spaces. This extends previous results of Frazier et al., and Han and Hofmann.

Keywords

Calderón-Zygmund operatorBesov spaceTriebel-Lizorkin spacewaveletBCR algorithm

MSC classification

Secondary: 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 77 , Issue 1 , August 2004 , pp. 29 - 46
Copyright
Copyright © Australian Mathematical Society 2004

References

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