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

2017/08/22 by Kolodziej, Slawomir, Nguyen, Ngoc Cuong · 1 citation
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/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.

Cited by

• Hölder Regularity of Dirichlet Problem For The Complex Monge-Ampère Equation

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