Families of strictly pseudoconvex domains and peak functions

2017/01/16 by Lewandowski, Arkadiusz
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1701.04259

Abstract

We prove that given a family (G_t) of strictly pseudoconvex domains varying in C² topology on domains, there exists a continuously varying family of peak functions h_t,ζ for all G_t at every ζ∈∂ G_t.

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