Hölder continuous solutions of the Monge-Ampère equation on compact Hermitian manifolds
arXiv:1708.06516
Abstract
We show that a positive Borel measure of positive finite total mass, on compact Hermitian manifolds, admits a Holder continuous quasi-plurisubharmonic solution to the Monge-Ampere equation if and only if it is dominated locally by Monge-Ampere measures of Holder continuous plurisubharmonic functions.
11 pages. Final version to appear in Ann. Inst. Fourier
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