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arXiv · 1708.09595

Families of Monge-Ampere measures with Holder continuous potentials

Duc-Viet Vu
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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.

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Duc-Viet Vu. 2017-08-31. Families of Monge-Ampere measures with Holder continuous potentials. https://arxiv.org/abs/1708.09595

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