Abstract
We first define molecules for Hardy spaces H 1 F(ℝ) associated with a family F of sections which is closely related to the Monge-Ampère equation and prove their molecular characters. As an application, we show that Monge-Ampère singular operators are bounded on H 1 F(ℝ).
| Original language | English |
|---|---|
| Pages (from-to) | 211-222 |
| Number of pages | 12 |
| Journal | Journal of Fourier Analysis and Applications |
| Volume | 18 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2012 |
Keywords
- Hardy spaces
- Molecular characterization
- Monge-Ampère equation
- Monge-Ampère singular integral operators