The range of holomorphic maps at boundary points
Complex Variables
2012-11-27 v1
Abstract
We prove a boundary version of the open mapping theorem for holomorphic maps between strongly pseudoconvex domains. That is, we prove that the local image of a holomorphic map close to a boundary regular contact point where the Jacobian is bounded from zero along normal non-tangential directions has to eventually contain every cone (and more generally every admissible region) with vertex at .
Cite
@article{arxiv.1211.6064,
title = {The range of holomorphic maps at boundary points},
author = {Filippo Bracci and John Erik Fornaess},
journal= {arXiv preprint arXiv:1211.6064},
year = {2012}
}