Domains of polyhedral type and boundary extensions of biholomorphisms

Dmitri Zaitsev

Domains of polyhedral type and boundary extensions of biholomorphisms

Complex Variables 2007-05-23 v1

Authors: Dmitri Zaitsev

Abstract

For $D$ , $D'$ analytic polyhedra in $C^n$ , it is proven that a biholomorphic mapping $f\colon D\to D'$ extends holomorphically to a dense boundary subset under certain condition of general position. This result is also extended to a more general class of domains with no smoothness condition on the boundary.

Keywords

analytic polyhedra biholomorphic mapping boundary extension general position complex analysis

Cite

@article{arxiv.math/9801042,
  title  = {Domains of polyhedral type and boundary extensions of biholomorphisms},
  author = {Dmitri Zaitsev},
  journal= {arXiv preprint arXiv:math/9801042},
  year   = {2007}
}

Comments

11 pages

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