| Title | The General Definition of the Complex Monge-Ampere Operator on Compact Kahler Manifolds |
| Authors | Yang Xing |
| Alternative Location | http://dx.doi.org/10.4153/C..., Restricted Access |
| Publication | Canadian Journal of Mathematics-Journal Canadien de Mathematiques |
| Year | 2010 |
| Volume | 62 |
| Issue | 1 |
| Pages | 218 - 239 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Canadian Mathematical Soc |
| Abstract English | We introduce a wide subclass F(X, w) of quasi-plurisubharmonic functions in a compact Kahler manifold, on which the complex Monge-Ampere operator is well defined and the convergence theorem is valid. We also prove that F(X, w) is a convex cone and includes all quasi-plurisubharmonic functions that are in the Cegrell class. |
| Keywords | complex Monge-Ampere operator, compact Kahler manifold, |
| ISBN/ISSN/Other | ISSN: 0008-414X |
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