Holder continuity of solutions to the complex Monge-Ampere equations on compact Kahler manifolds

Details Holder continuity of solutions to the complex Monge-Ampere equations on compact Kahler manifolds Holder continuity of solutions to the complex Monge-Ampere equations on compact Kahler manifolds

2009-04-27

arxiv.org/abs/0904.4145v4

Mathematics

Complex Variables

Final version. To appear in Annales de l'Institut Fourier

Scientific paper

We study H\"older continuity of solutions to the Monge-Amp\`{e}re equations
on compact K\"ahler manifolds. In [DNS] the authors have shown that the measure
$\omega_u^n$ is moderate if $u$ is H\"older continuous. We prove a theorem
which is a partial converse to this result.

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