Global $C^{2,\alpha }$ estimate for complex Monge--Ampère equations on compact Kähler manifolds

Haozhao Li, Bing Wang, Kai Zheng

In this paper, we prove a global $C^{2,\alpha }$ estimate for the complex Monge--Ampère equation with a positive $C^{\alpha }$ right-hand side on a compact Kähler manifold.