$C^{2,\alpha }$-estimate for Monge-Ampere equations with Hölder-continuous right hand side

Abstract

We present a somewhat new proof to the $C^{2,\alpha }$-aprori estimate for the uniform elliptic Monge-Ampere equations, in both the real and complex settings. Our estimates do not need to differentiate the equation, and only depends on the $C^{{\alpha }^{\prime }}-$norm of the right hand side of the equation, $0<\alpha <{\alpha }^{\prime }$.

14 pages, comments are welcome

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