PomeDefinition 13.12.1.C96BE5099B6A Let $A\subseteq X$ be a Borel subset. The $\theta $-capacity $\operatorname{Cap}_{\theta }(A)$ of $A$ is defined as
\[ \operatorname{Cap}_{\theta }(A)\coloneqq \sup \left\{ \int _ A\theta _{\varphi }^ n : \varphi \in \mathrm{PSH}(X,\theta ),V_{\theta }-1\leq \varphi \leq V_{\theta } \right\} . \]
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