Domains of polyhedral type and boundary extensions of biholomorphisms

Details Domains of polyhedral type and boundary extensions of biholomorphisms Domains of polyhedral type and boundary extensions of biholomorphisms

1998-01-09

arxiv.org/abs/math/9801042v1

Mathematics

Complex Variables

11 pages

Scientific paper

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.

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