English

Families of strictly pseudoconvex domains and peak functions

Complex Variables 2017-01-17 v1

Abstract

We prove that given a family (Gt)(G_t) of strictly pseudoconvex domains varying in C2\mathcal{C}^2 topology on domains, there exists a continuously varying family of peak functions ht,ζh_{t,\zeta} for all GtG_t at every ζGt.\zeta\in\partial G_t.

Keywords

Cite

@article{arxiv.1701.04259,
  title  = {Families of strictly pseudoconvex domains and peak functions},
  author = {Arkadiusz Lewandowski},
  journal= {arXiv preprint arXiv:1701.04259},
  year   = {2017}
}