Hölder continuous solutions of the Monge-Ampère equation on compact Hermitian manifolds

Published 22 Aug 2017 in math.CV and math.DG | (1708.06516v2)

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.

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