Families of strictly pseudoconvex domains and peak functions

Abstract

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 $\zeta \in \partial G_t.$

Cited by in corpus (1)

• Peak functions and boundary behaviour of holomorphically invariant distances on strictly pseudoconvex domains