## Arkiv för Matematik

• Ark. Mat.
• Volume 51, Number 2 (2013), 329-343.

### Proper holomorphic embeddings of finitely connected planar domains into ℂn

Irena Majcen

#### Abstract

In this paper we consider proper holomorphic embeddings of finitely connected planar domains into ℂn that approximate given proper embeddings on smooth curves. As a side result we obtain a tool for approximating a $\mathcal{C}^{\infty}$ diffeomorphism on a polynomially convex set in ℂn by an automorphism of ℂn that satisfies some additional properties along a real embedded curve.

#### Article information

Source
Ark. Mat., Volume 51, Number 2 (2013), 329-343.

Dates
First available in Project Euclid: 1 February 2017

https://projecteuclid.org/euclid.afm/1485907218

Digital Object Identifier
doi:10.1007/s11512-012-0171-y

Mathematical Reviews number (MathSciNet)
MR3090200

Zentralblatt MATH identifier
1273.32021

Rights

#### Citation

Majcen, Irena. Proper holomorphic embeddings of finitely connected planar domains into ℂ n. Ark. Mat. 51 (2013), no. 2, 329--343. doi:10.1007/s11512-012-0171-y. https://projecteuclid.org/euclid.afm/1485907218

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