Families of Monge-Ampere measures with Holder continuous potentials
Complex Variables
2017-09-01 v1 Algebraic Geometry
Abstract
Let X be a compact Kahler manifold. Let F be a family of probability measures on X whose superpotentials are Holder continuous with uniform Holder exponent and Holder constant. We prove that the corresponding family of solutions of the complex Monge-Ampere equations whose right-hand sides are measures in F is Holder continuous.
Keywords
Cite
@article{arxiv.1708.09595,
title = {Families of Monge-Ampere measures with Holder continuous potentials},
author = {Duc-Viet Vu},
journal= {arXiv preprint arXiv:1708.09595},
year = {2017}
}