An Example on $s$-H-Convexity in $\mathbb{C}^2$

Berit Stens{\o}nes; Lars Simon

arxiv: 1807.10185 · v1 · pith:UZI5RQHEnew · submitted 2018-07-26 · 🧮 math.CV

An Example on s-H-Convexity in mathbb{C}²

Lars Simon , Berit Stens{\o}nes This is my paper

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keywords mathbbomegabasisboundaryboundedclassconstructdomain

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We construct a bounded domain $\Omega$ in $\mathbb{C}^2$ with boundary of class $\mathcal{C}^{1,1}$, such that $\overline{\Omega}$ has a Stein neighborhood basis, but is not $s$-H-convex for any real number $s\geq{1}$.

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An Example on s-H-Convexity in mathbb{C}²

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