ScalingStacks

Lemma 3.42 . [04CP]

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Lemma 3.42.

(Wedge region bound) Under the quantitative almost calibrated hypothesis, we have |arg⁡F|≤π2−ϵ|\arg F|\leq\frac{\pi}{2}-\epsilon, or equivalently |Im​(F)|≤(cot⁡ϵ)​Re ​(F).|\text{Im}(F)|\leq(\cot\epsilon)\text{Re }(F). In particular |F|≤1sin⁡ϵ​Re ​F≤1sin⁡ϵ​Re ​F​(p).|F|\leq\frac{1}{\sin\epsilon}\text{Re }F\leq\frac{1}{\sin\epsilon}\text{Re }F(p).

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