English

Non-holomorphic projections and extension of biholomorphic mappings

Complex Variables 2012-05-03 v1

Abstract

We show that biholomorphic mappings between two bounded, pseudoconvex domains with smooth boundary extend smoothly to the boundaries of the domains, under a regularity condition on a family of twisted Bergman-like projections. This result is inspired by and generalizes a sufficient condition for extension due to Bell and Ligocka.

Keywords

Cite

@article{arxiv.1205.0284,
  title  = {Non-holomorphic projections and extension of biholomorphic mappings},
  author = {Jeffery D. McNeal},
  journal= {arXiv preprint arXiv:1205.0284},
  year   = {2012}
}