English

Normed domains of holomorphy

Complex Variables 2009-09-01 v1

Abstract

We treat the classical concept of domain of holomorphy in \CCn\CC^n when the holomorphic functions considered are restricted to lie in some Banach space. Positive and negative results are presented. A new view of the case n=1n = 1 is considered.

Keywords

Cite

@article{arxiv.0908.4459,
  title  = {Normed domains of holomorphy},
  author = {Steven G. Krantz},
  journal= {arXiv preprint arXiv:0908.4459},
  year   = {2009}
}