Abstract
We give an example of a domain W in \(\mathbb {C}^3\), biholomorphic to a ball, such that W is not Runge in any Stein neighborhood of \( \overline {W}\).
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Acknowledgements
The article was discussed during the conference “Geometric Function Theory in Higher Dimension” held in Cortona, September 2016. The authors would like to thank the organizers for their invitation. The authors would also like to thank the referee for his useful comments. The author Hervé Gaussier was partially supported by ERC ALKAGE. The author Cezar Joiţa was partially supported by CNCS grant PN-III-P4-ID-PCE-2016-0330.
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Gaussier, H., Joiţa, C. (2017). On Runge Neighborhoods of Closures of Domains Biholomorphic to a Ball. In: Bracci, F. (eds) Geometric Function Theory in Higher Dimension. Springer INdAM Series, vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-73126-1_5
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DOI: https://doi.org/10.1007/978-3-319-73126-1_5
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