Equation 18.28.10226F49B219B2

\begin{equation} \begin{split} P_{\theta ,K}[\varphi ](f)=& \operatorname *{sup}_{}{}\! {}^{*}\Bigl \{ \eta \in \mathrm{PSH}(X,\theta ): \eta |_ K \leq f \textup{ and } \eta \preceq \varphi \Bigr \} \\ =& \operatorname *{sup}_{}{}\! {}^{*}\Bigl \{ \eta \in \mathrm{PSH}(X,\theta )_{>0}: \eta |_ K \leq f \textup{ and } \eta \preceq \varphi \Bigr \} . \end{split} \end{equation}