Abstract
We study the validity of the Lp inequality for the Riesz transform when p > 2 and of its reverse inequality when 1 < p < 2 on complete Riemannian manifolds under the doubling property and some Poincaré inequalities.
| Original language | English |
|---|---|
| Pages (from-to) | 531-555 |
| Number of pages | 25 |
| Journal | Annali della Scuola Normale - Classe di Scienze |
| Volume | 4 |
| Issue number | 3 |
| Publication status | Published - 1 Dec 2005 |
| Externally published | Yes |