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TITLE FAMILIES OF MONGE-AMPERE MEASURES WITH HOLDER CONTINUOUS POTENTIALS
KIAS AUTHORS Vu, Duc-Viet
JOURNAL PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018
ARCHIVE arxiv:1708.09595
ABSTRACT Let X be a compact Kahler manifold of dimension n. Let F be a family of probability measures on X whose superpotentials are of uniformly bounded C-a norms for some fixed constant alpha is an element of (0, 1]. We prove that the corresponding family of solutions of the complex Monge-Amp` ere equations (dd(c) phi + omega)(n) = mu with mu is an element of F is Holder continuous.
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