Abstract
Several weighted rearrangement inequalities for uncentered and centered local sharp functions are proved. These results are applied to obtain new weighted weak-type and strong-type estimates for singular integrals. A self-improving property of sharp function inequalities is established.
| Original language | English |
|---|---|
| Pages (from-to) | 2445-2465 |
| Number of pages | 21 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 357 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 2005 |
Keywords
- Sharp maximal functions
- Singular integrals
- Weighted rearrangements