Abstract
By use of special wavelet bases associated to accretive or pseudo-accretive functions, it was proved that all Calderón-Zygmund operators satisfying certain conditions form an algebra. In this article, a similar result is proved for more general para-accretive functions. Since wavelet bases are not available for this general setting, the new idea used here is to apply the discrete Calderón-type reproducing formula associated to para-accretive functions developed in [14]. This new method can be applied to many other problems, where wavelet bases are not available.
| Original language | English |
|---|---|
| Pages (from-to) | 581-596 |
| Number of pages | 16 |
| Journal | Journal of Fourier Analysis and Applications |
| Volume | 12 |
| Issue number | 5 |
| DOIs | |
| State | Published - Oct 2006 |
Keywords
- Calderón-Zygmund operators
- Para-accretive functions
- T b theorem