ScalingStacks

Lemma 4.2 . [0312]

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Lemma 4.2.

There is a constant CC such that on the whole of B×ℂn−mB\times\mathbb{C}^{n-m} we have

(4.3) C−1​p∗​(ω0+ωS​F)⩽λt∗​p∗​T−σ∗​ω~t⩽C​p∗​(ω0+ωS​F),C^{-1}p^{*}(\omega_{0}+\omega_{SF})\leqslant\lambda_{t}^{*}p^{*}T_{-\sigma}^{*}\tilde{\omega}_{t}\leqslant Cp^{*}(\omega_{0}+\omega_{SF}),

for all small t>0t>0.

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