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 $D$.
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
Affiliations des auteurs :
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
@article{10_4064_ap82_3_2,
author = {Le Mau Hai and Nguyen Quang Dieu and Nguyen Huu Tuyen},
title = {Some properties of {Reinhardt} domains},
journal = {Annales Polonici Mathematici},
pages = {203--217},
year = {2003},
volume = {82},
number = {3},
doi = {10.4064/ap82-3-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap82-3-2/}
}
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AU - Le Mau Hai
AU - Nguyen Quang Dieu
AU - Nguyen Huu Tuyen
TI - Some properties of Reinhardt domains
JO - Annales Polonici Mathematici
PY - 2003
SP - 203
EP - 217
VL - 82
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%A Nguyen Quang Dieu
%A Nguyen Huu Tuyen
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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
