ScalingStacks

Lemma 2.8 . [00PR]

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Lemma 2.8.

(cf. [15, Lemma 2.3]) The MA measure of sublevel sets controls the capacity of lower sublevel sets : for τ≥0\tau\geq 0 and 0≤t≤10\leq t\leq 1,

tn​C​a​pω​(ϕ<−τ−t)≤∫ϕ<−τωϕn.t^{n}Cap_{\omega}(\phi<-\tau-t)\leq\int_{\phi<-\tau}\omega_{\phi}^{n}.

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