Continuity of the Complex Monge-Ampere operator on compact Kahler manifolds

Abstract

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.

Keywords

Complex Monge-Ampere operator; Compact Kahler manifold

Published in

Mathematische Zeitschrift
2009, Volume: 263, number: 2, pages: 331-344
Publisher: SPRINGER

SLU Authors

• Xing, Yang

  • Department of Forest Economics, Swedish University of Agricultural Sciences
    

UKÄ Subject classification

Geometry
Algebra and Logic


Publication identifier

DOI: https://doi.org/10.1007/s00209-008-0420-8

Permanent link to this page (URI)

https://res.slu.se/id/publ/49432