English

On a local characterization of pseudoconvex domains

Complex Variables 2010-06-23 v1

Abstract

Pseudoconvexity of a domain in Cn\Bbb C^n is described in terms of the existence of a locally defined plurisubharmonic/holomorphic function near any boundary point that is unbounded at the point.

Keywords

Cite

@article{arxiv.0808.0313,
  title  = {On a local characterization of pseudoconvex domains},
  author = {Nikolai Nikolov and Peter Pflug and Pascal J. Thomas and Wlodzimierz Zwonek},
  journal= {arXiv preprint arXiv:0808.0313},
  year   = {2010}
}