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arXiv · 1006.4261

The $\mathcal C^{2,\alpha}$ estimate of complex Monge-Ampere equation

Slawomir Dinew·Xi Zhang·Xiangwen Zhang
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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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Slawomir Dinew, Xi Zhang, Xiangwen Zhang. 2010-06-22. The $\mathcal C^{2,\alpha}$ estimate of complex Monge-Ampere equation. https://arxiv.org/abs/1006.4261

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