ScalingStacks

Lemma 2.2 [02GC]

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Lemma 2.2

There exists a constant C0=C0​(π,‖F‖Lp​(ωXn))>0C_{0}=C_{0}(\pi,\|F\|_{L^{p}(\omega_{X}^{n})})>0 such that for any compact set K⊂XK\subset X and t∈]0,1]t\in]0,1],

μt​(K)≤C0n​(Capωt​(K)V​o​lωt​(X))2.\mu_{t}(K)\leq C_{0}^{n}\left(\frac{\mathrm{Cap}_{\omega_{t}}(K)}{Vol_{\omega_{t}}(X)}\right)^{2}.

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