Definition 1.1 . [02D8] Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.
Source coverage notes 1 original proof heading/text diagnostics lack independently established complete proof boundaries; diagnostic occurrences may overlap and are not a count of distinct proofs. Complete original source context · Original author HTML
Definition 1.1 .
We let ℰ 1 ( X , ω ) {\mathcal{E}}^{1}(X,\omega) ω \omega φ ∈ P S H ( X , ω ) \varphi\in PSH(X,\omega) φ j ∈ P S H ( X , ω ) ∩ L ∞ ( X ) \varphi_{j}\in PSH(X,\omega)\cap L^{\infty}(X)
φ j ↘ φ and sup j ∫ X ( − φ j ) ( ω + d d c φ j ) n < + ∞ . \varphi_{j}\searrow\varphi\;\;\text{ and }\;\;\sup_{j}\int_{X}(-\varphi_{j})(\omega+dd^{c}\varphi_{j})^{n}<+\infty.