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arxiv: 1202.2568 · v1 · pith:O5HP5Q3Onew · submitted 2012-02-12 · 🧮 math.CV

A note on the Nebenh\"ulle of Smooth Complete Hartogs Domains

classification 🧮 math.CV
keywords completehartogsnebenhsmoothulleassumptionboundedcatlin
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It is shown that a smooth bounded pseudoconvex complete Hartogs domain in $\mathbb{C}^2$ has trivial Nebenh\"ulle. The smoothness assumption is used to invoke a theorem of D. Catlin.

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