Proposition 3.7 . [01A9]

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Proposition 3.7.

Let $\varphi_{1},...,\varphi_{n}$ be bounded $\theta$ -psh functions. Then any $\psi\in\PSH(X,\theta)$ is integrable with respect to the measure $\mu:=(\theta+dd^{c}\varphi_{1})\wedge\cdots\wedge(\theta+dd^{c}\varphi_{n})$ . In particular, $\mu$ does not put mass on pluripolar sets.