| Title | Continuity of the complex Monge-Ampere operator on compact Kahler manifolds |
| Authors | Yang Xing |
| Alternative Location | http://dx.doi.org/10.1007/s..., Restricted Access |
| Publication | Mathematische Zeitschrift |
| Year | 2009 |
| Volume | 263 |
| Issue | 2 |
| Pages | 331 - 344 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Springer Berlin / Heidelberg |
| Abstract English | We prove several approximation theorems of the complex Monge-Ampere operator on a compact Kahler manifold. As an application we give a new proof of a recent result of Guedj and Zeriahi on a complete description of the range of the complex Monge-Ampere operator in the class of w-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 in some subclass. |
| Keywords | complex Monge-Ampere operator, compact Kahler manifold, |
| ISBN/ISSN/Other | ISSN: 0025-5874 (print version) |
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