Definition 16.3.39`B791A3D8205D`

Definition 16.3.39.B791A3D8205D Given $\varphi \in \mathrm{PSH}(X,\theta )$ and a function $f\colon X\to [-\infty ,\infty ]$, we define

\[ P_\theta [\varphi ](f)\coloneqq \operatorname *{sup}_{}{}\! {}^{*}\bigl \{ \eta \in \mathrm{PSH}(X,\theta ): \eta \leq f\textup{ quasi-everywhere},\ \eta \preceq \varphi \bigr \} . \]

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@misc{pome-tag-B791A3D8205D,
  author = {{Pome contributors}},
  title = {Definition 16.3.39},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/B791A3D8205D/}
}

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Definition 16.3.39B791A3D8205D

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Definition 16.3.39`B791A3D8205D`