H\"older continuous solutions of the Monge-Amp\`ere equation on compact Hermitian manifolds
Complex Variables
2019-02-13 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1708.06516,
title = {H\"older continuous solutions of the Monge-Amp\`ere equation on compact Hermitian manifolds},
author = {Slawomir Kolodziej and Ngoc Cuong Nguyen},
journal= {arXiv preprint arXiv:1708.06516},
year = {2019}
}
Comments
11 pages. Final version to appear in Ann. Inst. Fourier