The $\mathcal C^{2,α}$ estimate of complex Monge-Ampere equation
arXiv:1006.4261
Abstract
We prove that any $\mathcal C^{1,1}$ solution to complex Monge-Ampère equation $det(u_{i\bar{j}})=f$ with $0<f\in\mathcal C^α$ is in $\mathcal C^{2,α}$ for $α\in (0,1)$.
8 pages