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

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Abstract

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.

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Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Sidor (från-till)218-239
TidskriftCanadian Journal of Mathematics
Volym62
Utgåva nummer1
StatusPublished - 2010
PublikationskategoriForskning
Peer review utfördJa