Resumen de The set of measures given by bounded solutions of the complex Monge-Ampère equation on compact Kähler manifolds

Slawomir Kolodziej

• 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.