J. Aust. Math. Soc.
77 (2004), 29-46
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Wavelet decomposition of Calderón-Zygmund operators on function spaces
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Ka-Sing Lau
Department of Mathematics
The Chinese University of Hong Kong
Shatin, NT Hong Kong
kslau@math.cuhk.edu.hk
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Lixin Yan
Department of Mathematics
Zhongshan University
Guangzhou, 510275
P. R. China
lixin@ics.mq.edu.au
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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 theorem on Besov and Triebel-Lizorkin spaces.
This extends previous results of Frazier et al., and Han and Hofmann.
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