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).
- Hardy spaces
- Molecular characterization
- Monge-Ampère equation
- Monge-Ampère singular integral operators