Theorem 4.1 . [02EA] 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
Theorem 4.1 .
Let μ \mu be a probability measure which satisfies condition
ℋ ( α , A , ω ) {\mathcal{H}}(\alpha,A,\omega) and fix t > 0 t>0 .
There exists a unique function φ t ∈ P S H ( X , ω ) ∩ 𝒞 0 ( X ) \varphi_{t}\in PSH(X,\omega)\cap{\mathcal{C}}^{0}(X)
such that
( ω + d d c φ t ) n = e t φ μ . (\omega+dd^{c}\varphi_{t})^{n}=e^{t\varphi}\mu.