Some properties of Reinhardt domains
Volume 82 / 2003
Annales Polonici Mathematici 82 (2003), 203-217
MSC: 32A07, 32D15, 32T05.
DOI: 10.4064/ap82-3-2
Abstract
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 ${\mit \Delta }_*$ into $D$ can be extended holomorphically to a map from ${\mit \Delta }$ into $D$.
