Remark 4.4 . [045G]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Remark 4.4.

In the original coordinates, for $R\lesssim A^{1/4}$ ,

\begin{cases}|w^{p\bar{q}}-\frac{z_{p}\bar{z}_{q}}{2RA^{1/2}a^{i\bar{j}}z_{i}\bar{z}_{j}}|\leq CA^{-1/4}\max(1,\log(A^{-1/4}\varrho)),\\ |v-\frac{A^{1/2}}{2R}|\leq CA^{1/4}\max(1,\log(A^{-1/4}\varrho)).\end{cases}