Abstract
In this article, we study the boundedness of singular integral operators acting on Triebel-Lizorkin spaces of para-accretive type and show a Tb theorem on these spaces, which extends previous results in David, Journé and Semmes (1985) [3], Han (1994) [9], Han, Lee and Lin (2004) [10], Han and Sawyer (1990) [12], Lin and Wang (2009) [15], Wang (1999) [22].
| Original language | English |
|---|---|
| Pages (from-to) | 453-462 |
| Number of pages | 10 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 364 |
| Issue number | 2 |
| DOIs | |
| State | Published - 15 Apr 2010 |
Keywords
- Calderón reproducing formula
- Para-accretive function
- Paraproduct operator
- Tb theorem
- Triebel-Lizorkin space