We prove that given a family \((G_t)\) of strictly pseudoconvex domains varying in \(\mathcal {C}^2\) topology on domains, there exists a continuously varying family of peak functions \(h_{t,\zeta }\) for all \(G_t\) at every \(\zeta \in \partial G_t\).

中文翻译：

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严格伪凸域和峰值函数的族。

我们证明给定一个严格伪凸域的族（（G_t）\）在域上的\（\ mathcal {C} ^ 2 \）拓扑中变化，存在一个连续变化的峰值函数族（{h_ {t，\ ζ电} \）对所有\（G_T \）在每个\（\ζ电\在\局部G_T \） 。