Abstract
We construct Fatou–Bieberbach domains in $\mathbb{C}^{n}$ for n>1 which contain a given compact set K and at the same time avoid a totally real affine subspace L of dimension < n, provided that K∪L is polynomially convex. By using this result, we show that the domain $\mathbb{C}^{n}\setminus\mathbb{R}^{k}$ for 1≤k< n enjoys the basic Oka property with approximation for maps from any Stein manifold of dimension < n.
Citation
Franc Forstnerič. Erlend F. Wold. "Fatou–Bieberbach domains in $\mathbb{C}^{n}\setminus\mathbb{R}^{k}$." Ark. Mat. 53 (2) 259 - 270, October 2015. https://doi.org/10.1007/s11512-014-0209-4
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