Theorem 16.5.9`0E437FB98B97`

Theorem 16.5.9.0E437FB98B97 Fix $\lambda >0$. Let $\mu $ be a non-pluripolar measure on $X$ with $\mu (X)>0$. Then there is a unique $\varphi \in \mathcal{E}(X,\theta ;\phi )$ such that

\[ \theta _{\varphi }^ n=\mathrm{e}^{\lambda \varphi }\mu . \]

Furthermore, for any $\psi \in \mathcal{E}(X,\theta ;\phi )$ satisfying

\[ \theta _{\psi }^ n\geq \mathrm{e}^{\lambda \psi }\mu , \]

we have $\varphi \geq \psi $.

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BibTeX citation

@misc{pome-tag-0E437FB98B97,
  author = {{Pome contributors}},
  title = {Theorem 16.5.9},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/0E437FB98B97/}
}

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Theorem 16.5.90E437FB98B97

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Theorem 16.5.9`0E437FB98B97`