Let $P$ be a Borel subset. Then $T_{\omega}(P)=0$ iff $P$ is $PSH(X,\omega)$-polar. Moreover if $\varphi\in PSH(X,\omega)$ then

$$T_{\omega}(\varphi<-t)\leq C_{\varphi}\exp(-t),\;\forall t\in\mathbb{R},$$

where $C_{\varphi}=\exp(-\sup_{X}\varphi)$.