Equation 13.29.80B648D2C5A55

\begin{equation} \begin{split} \sup _{p\in \mathcal M(\theta _0)} \| F_{j0}(p)-p\| _{L^1(Y)}& \longrightarrow 0,\\ \sup _{p\in \mathcal M(\theta _0)} \operatorname {Cap}_\eta (\{ |F_{j0}(p)-p|>t\} )& \longrightarrow 0. \end{split} \end{equation}