The General Definition of the Complex Monge-Ampere Operator on Compact Kahler Manifolds
Författare
Summary, in 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.
Avdelning/ar
Publiceringsår
2010
Språk
Engelska
Sidor
218-239
Publikation/Tidskrift/Serie
Canadian Journal of Mathematics
Volym
62
Issue
1
Dokumenttyp
Artikel i tidskrift
Förlag
Canadian Mathematical Society
Ämne
- Mathematics
Nyckelord
- complex Monge-Ampere operator
- compact Kahler manifold
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0008-414X