Abstract
It is shown that the Lwp, 1<p<∞, operator norms of Littlewood-Paley operators are bounded by a multiple of ∥w∥Apγp, where γp = max{1, p/2}. This improves previously known bounds for all p > 2. As a corollary, a new estimate in terms of ∥w∥Ap is obtained for the class of Caldeŕon-Zygmund singular integrals commuting with dilations.
| Original language | English |
|---|---|
| Pages (from-to) | 653-666 |
| Number of pages | 14 |
| Journal | Illinois Journal of Mathematics |
| Volume | 52 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2008 |