ScalingStacks

Lemma 6.10 . [01BH]

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Lemma 6.10.

If φ,ψ∈ℰ1​(X,ω)\varphi,\psi\in\mathcal{E}^{1}(X,\omega) and φ,ψ≤0\varphi,\psi\leq 0, then we have the estimate

−∞<E⁡(φ+ψ2)≤2−(n+1)n+1​∫(−ψ)​MA⁡(φ).-\infty<E\left(\frac{\varphi+\psi}{2}\right)\leq\frac{2^{-(n+1)}}{n+1}\int(-\psi)\MA(\varphi).

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