Abstract
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.
Original language | English |
---|---|
Pages (from-to) | 29-46 |
Number of pages | 18 |
Journal | Journal of the Australian Mathematical Society |
Volume | 77 |
Issue number | 1 |
Publication status | Published - Aug 2004 |
Keywords
- BCR algorithm
- Besov space
- Calderón-Zygmund operator
- Triebel-Lizorkin space
- Wavelet