Abstract
We prove that an almost diagonal condition on the (m + 1)-linear tensor associated to an m-linear operator implies boundedness of the operator on products of classical function spaces. We then provide applications to the study of certain singular integral operators.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 75-89 |
| Number of pages | 15 |
| Journal | Studia Mathematica |
| Volume | 164 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2004 |
| Externally published | Yes |
Keywords
- Almost diagonal conditions
- Atoms
- Calderón-Zygmund singular integrals
- Molecules
- Multilinear operators
- Pseudodifferential operators
- Triebel-Lizorkin spaces
- Wavelets
ASJC Scopus subject areas
- General Mathematics