ScalingStacks

Claim 4 [0296]

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Claim 4

. If ‖φ−ψ‖L1​(X)≤1/2\|\varphi-\psi\|_{L^{1}(X)}\leq 1/2, then there exists a constant Ca>0C_{a}>0 such that

‖φ−ψ‖Exp⁡L⁡(X)≤Ca/log⁡‖φ−ψ‖L1​(X)−1.\|\varphi-\psi\|_{\operatorname{Exp}L(X)}\leq C_{a}/\log\|\varphi-\psi\|^{-1}_{L^{1}(X)}\,.

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