A Remark On C^{2,α}-Regularity of the Complex Monge-Ampère Equation

Yu Wang

We prove the $C^{2,\alpha }$-regularity of the solution $u$ of the equation [\det(u_{\bar{k} j}) = f, \quad f^{1/n} \in C^α, \quad f \geq λ] under the assumption in upper bound of $\Delta u$.…