Abstract
We show that for any bounded domain \(\varOmega\subset\mathbb{C} ^{n}\) of 1-type 2k which is locally convexifiable at p∈bΩ, having a Stein neighborhood basis, there is a biholomorphic map \(f:\bar{\varOmega}\rightarrow\mathbb{C} ^{n} \) such that f(p) is a global extreme point of type 2k for \(f{(\overline{\varOmega})}\).
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Acknowledgement
The authors would like to thank the referee for a very careful reading, thus helping us to greatly improve the exposition of the paper.
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Communicated by Alexander Isaev.
Erlend F. Wold supported by NFR grant 209751/F20. John E. Fornaess supproted by NSF grant 1006294.
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Diederich, K., Fornæss, J.E. & Wold, E.F. Exposing Points on the Boundary of a Strictly Pseudoconvex or a Locally Convexifiable Domain of Finite 1-Type. J Geom Anal 24, 2124–2134 (2014). https://doi.org/10.1007/s12220-013-9410-0
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DOI: https://doi.org/10.1007/s12220-013-9410-0