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Some properties of Reinhardt domains

Le Mau Hai; Nguyen Quang Dieu; Nguyen Huu Tuyen — 2003

Annales Polonici Mathematici

We first establish the equivalence between hyperconvexity of a fat bounded Reinhardt domain and the existence of a Stein neighbourhood basis of its closure. Next, we give a necessary and sufficient condition on a bounded Reinhardt domain D so that every holomorphic mapping from the punctured disk $Δ_{*}$ into D can be extended holomorphically to a map from Δ into D.

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