ScalingStacks

Lemma 4.2 . [05DU]

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Lemma 4.2.

For any y∈BhE​(0,2​r)y\in B_{h_{E}}(0,2r),

‖𝔉k​(y,0)‖C0,α​(L,h)≤C​‖(d​αk,d​βk)‖C1,α​(Y2​r,g),\|\mathfrak{F}_{k}(y,0)\|_{C^{0,\alpha}(L,h)}\leq C\|(d\alpha_{k},d\beta_{k})\|_{C^{1,\alpha}(Y_{2r},g)},

for a constant CC independent of kk.

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