2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128971We introduce a wide subclass ${\cal F}(X,ω)$ 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 ${\cal F}(X,ω)$ is a convex cone and includes all quasi-plurisubharmonic functions which are in the Cegrell class.Complex VariablesDifferential Geometry32W20, 32Q15text