Definition 2.4 . [032X]

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Definition 2.4.

Let $K$ be a Borel subset of $X$ . We set

Cap_{\omega}(K):=\sup\left\{\int_{K}\omega_{\varphi}^{n}\,/\,\varphi\in PSH(X,\omega),0\leq\varphi\leq 1\right\}.