Equation 18.28.41F7034C27B5A

\begin{equation} P_{\theta ,K}[\varphi ]_{\mathcal{I}}(f)\coloneqq \operatorname *{sup}_{}{}\! {}^{*}\Bigl \{ \eta \in \mathrm{PSH}(X,\theta ): \eta |_ K \leq f \textup{ quasi-everywhere and } \eta \preceq _{\mathcal{I}} \varphi \Bigr \} . \end{equation}