Some interior regularity estimates for solutions of complex Monge-Ampère equations on a ball

Chao Li, Jiayu Li, Xi Zhang

In this paper, we consider the Dirichlet problem of a complex Monge-Ampère equation on a ball in ${\mathbb{C}}^n$. With ${\mathcal{C}}^{1,\alpha }$ (resp. ${\mathcal{C}}^{0,\alpha }$) data, we prove an…