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The $\mathcal C^{2,α}$ estimate of complex Monge-Ampere equation (1006.4261v1)
Published 22 Jun 2010 in math.CV
Abstract: We prove that any $\mathcal C{1,1}$ solution to complex Monge-Amp`ere equation $det(u_{i\bar{j}})=f$ with $0<f\in\mathcal C{\alpha}$ is in $\mathcal C{2,\alpha}$ for $\alpha\in (0,1)$.
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