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

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