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Hölder continuity of solutions to the complex Monge-Ampère equation with the right hand side in Lp. The case of compact Kähler manifolds

Sławomir Kołodziej

math.CVarXiv:math/0611051

Abstract

We prove that on compact Kähler manifolds solutions to the complex Monge-Ampère equation, with the the right hand side in Lp, p>1, are Hölder continuous.

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