Geodesic
The General Definition of the Complex Monge–Ampère Operator on Compact Kähler Manifolds
Canadian journal of mathematics, Tome 62 (2010) no. 1, pp. 218-239

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DOI

We introduce a wide subclass $\mathcal{F}\left( X,\,\omega\right)$ of quasi-plurisubharmonic functions in a compact Kähler manifold, on which the complex Monge-Ampère operator is well defined and the convergence theorem is valid. We also prove that $\mathcal{F}\left( X,\,\omega\right)$ is a convex cone and includes all quasi-plurisubharmonic functions that are in the Cegrell class.
DOI : 10.4153/CJM-2010-012-7
Mots-clés : complex Monge-Ampère operator, compact Kähler manifold 
Xing, Yang. The General Definition of the Complex Monge–Ampère Operator on Compact Kähler Manifolds. Canadian journal of mathematics, Tome 62 (2010) no. 1, pp. 218-239. doi: 10.4153/CJM-2010-012-7
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     doi = {10.4153/CJM-2010-012-7},
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