Lemma 2.2 . [04TQ]

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Lemma 2.2.

Assume that $\det D^{2}u\geq 1$ in $\Omega\subset\mathbb{R}^{n}$ . Then if $S_{h,p}(x)$ is any section of $u$ , we have

|S_{h,p}(x)|\leq Ch^{n/2}

for some constant $C$ depending only on $n$ .