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The General Definition of the Complex Monge-Ampere Operator on Compact Kahler Manifolds

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Author

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.

Publishing year

2010

Language

English

Pages

218-239

Publication/Series

Canadian Journal of Mathematics

Volume

62

Issue

1

Document type

Journal article

Publisher

Canadian Mathematical Society

Topic

  • Mathematics

Keywords

  • complex Monge-Ampere operator
  • compact Kahler manifold

Status

Published

ISBN/ISSN/Other

  • ISSN: 0008-414X