Proposition 4.14 . [00RX]

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Proposition 4.14.

There is an admissible convex function $u$ on $N_{\mathbb{R}}$ , such that on $U_{w}^{\infty}\cap\partial\Delta_{\lambda}^{\vee}$ ,

|u-(\bar{\phi}_{m,w}+m)|\leq Cs^{-1/2}.

(24)