C2,α-estimate for Monge-Ampere equations with H\"older-continuous right hand side

Abstract

We present a somewhat new proof to the C2,α-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 Cα-norm of the right hand side of the equation, 0<α<α.

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