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arXiv · 1708.06516

H\"older continuous solutions of the Monge-Amp\`ere equation on compact Hermitian manifolds

Slawomir Kolodziej·Ngoc Cuong Nguyen
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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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Slawomir Kolodziej, Ngoc Cuong Nguyen. 2017-08-22. H\"older continuous solutions of the Monge-Amp\`ere equation on compact Hermitian manifolds. https://arxiv.org/abs/1708.06516

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