English

"Convex" characterization of linearly convex domains

Complex Variables 2014-05-23 v3

Abstract

We prove that a C1,1C^{1,1}-smooth bounded domain DD in \Cn\C^n is linearly convex if and only if the convex hull of any two discs in DD with common center lies in D.D.

Keywords

Cite

@article{arxiv.1009.5022,
  title  = {"Convex" characterization of linearly convex domains},
  author = {Nikolai Nikolov and Pascal J. Thomas},
  journal= {arXiv preprint arXiv:1009.5022},
  year   = {2014}
}

Comments

to appear in Math. Scand.; v3: Appendix is added