Equation 18.28.319BBFEFEB969

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