The Set of Measures Given by Bounded Solutions of the Complex Monge-Ampere Equation on Compact Kahler Manifolds |
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Authors: | Kolodziej Slawomir |
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Affiliation: | Institute of Mathematics, Jagiellonian University Reymonta 4, 30-059 Kraków, Poland kolodzie{at}im.uj.edu.pl |
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Abstract: | Consider the image of the MongeAmpère operatoracting on bounded functions, defined on a compact Kählermanifold, whose sum with the local Kähler potential isplurisubharmonic. It is shown that a nonnegative Borel measurebelongs to this image if and only if it belongs to the imagelocally. In particular, those measures form a convex set. |
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