Geodesic
Some properties of Reinhardt domains
Le Mau Hai1 ; Nguyen Quang Dieu1 ; Nguyen Huu Tuyen1
1Department of Mathematics University of Education Cau Giay, Tu Liem, Hanoi, Vietnam
Annales Polonici Mathematici, Tome 82 (2003) no. 3, pp. 203-217

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $D$.
DOI : 10.4064/ap82-3-2
Keywords: first establish equivalence between hyperconvexity fat bounded reinhardt domain existence stein neighbourhood basis its closure necessary sufficient condition bounded reinhardt domain every holomorphic mapping punctured disk mit delta * extended holomorphically map mit delta

Le Mau Hai  1   ; Nguyen Quang Dieu  1   ; Nguyen Huu Tuyen  1

1 Department of Mathematics University of Education Cau Giay, Tu Liem, Hanoi, Vietnam 
Le Mau Hai; Nguyen Quang Dieu; Nguyen Huu Tuyen. Some properties of Reinhardt domains. Annales Polonici Mathematici, Tome 82 (2003) no. 3, pp. 203-217. doi: 10.4064/ap82-3-2
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