H\"older continuous solutions of the Monge-Amp\`ere equation on compact Hermitian manifolds
classification
🧮 math.CV
math.DG
keywords
continuouscompactequationhermitianholdermanifoldsmonge-amperepositive
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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.
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