J. Aust. Math. Soc.  77 (2004), 29-46
Wavelet decomposition of Calderón-Zygmund operators on function spaces

Ka-Sing Lau
  Department of Mathematics
  The Chinese University of Hong Kong
  Shatin, NT
  Hong Kong
Lixin Yan
  Department of Mathematics
  Zhongshan University
  Guangzhou, 510275
  P. R. China

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 $T(1)$ theorem on Besov and Triebel-Lizorkin spaces. This extends previous results of Frazier et al., and Han and Hofmann.
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