Proposition 1.4 . [02DC] 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
Proposition 1.4 .
Let μ \mu X X ℋ ( α , A , ω ) {\mathcal{H}}(\alpha,A,\omega) φ ∈ ℰ 1 ( X , ω ) \varphi\in{\mathcal{E}}^{1}(X,\omega)
μ = ( ω + d d c φ ) n and sup X φ = − 1 . \mu=(\omega+dd^{c}\varphi)^{n}\;\text{ and }\;\sup_{X}\varphi=-1.