THE SET OF MEASURES GIVEN BY BOUNDED SOLUTIONS OF THE COMPLEX MONGE–AMPÈRE EQUATION ON COMPACT KÄHLER MANIFOLDS
Published online by Cambridge University Press: 20 July 2005
Abstract
Consider the image of the Monge–Ampère operator acting on bounded functions, defined on a compact Kähler manifold, whose sum with the local Kähler potential is plurisubharmonic. It is shown that a nonnegative Borel measure belongs to this image if and only if it belongs to the image locally. In particular, those measures form a convex set.
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- The London Mathematical Society 2005
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