ScalingStacks

Proposition 2.7 . [0083]

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Proposition 2.7.

(cf. [22, Thm 3.1]) If ϕ\phi is psh on B2⊂ℂnB_{2}\subset\mathbb{C}^{n}, with ∫B2|ϕ|​ωEn≤1\int_{B_{2}}|\phi|\omega_{E}^{n}\leq 1 with respect to the standard Euclidean metric ωE\omega_{E}, then there are dimensional constants α\alpha, CC, such that

∫B1e−α​ϕ​ωEn≤C.\int_{B_{1}}e^{-\alpha\phi}\omega_{E}^{n}\leq C.

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