ScalingStacks

Lemma 2.8. (cf. [15, Lemma 2.3]) The MA measure of sublevel sets controls the capacity of lower sublevel sets : for $\tau\geq 0$ and $0\leq t\leq 1$,

$$t^{n}Cap_{\omega}(\phi<-\tau-t)\leq\int_{\phi<-\tau}\omega_{\phi}^{n}.$$