Theorem 13.13.62 (Di Nezza–Trapani).700E44C7083B Let $\theta $ be a smooth closed real $(1,1)$-form on $X$ representing a big cohomology class. Let $f\in C^{1,\overline{1}}(X)$. Then
\[ P_\theta (f)\in C^{1,\overline{1}}\bigl (X\setminus \operatorname{nK}(\{ \theta \} )\bigr ). \]
In particular, $V_{\theta }\in C^{1,\overline{1}}\bigl (X\setminus \operatorname{nK}(\{ \theta \} )\bigr )$.
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