- Department of Forest Economics, Swedish University of Agricultural Sciences
We prove several approximation theorems of the complex Monge-Ampere operator on a compact Kahler manifold. As an application we prove the Cegrell type theorem on a complete description of the range of the complex Monge-Ampere operator in the class of omega-plurisubharmonic functions with vanishing complex Monge-Ampere mass on all pluripolar sets. As a by-product we obtain a stability theorem of solutions of complex Monge Ampere equations.
Complex Monge-Ampere operator; Compact Kahler manifold
2009, Volume: 263, number: 2, pages: 331-344
Algebra and Logic