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 into D can be extended holomorphically to a map from Δ into D.
@article{bwmeta1.element.bwnjournal-article-doi-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}, volume = {81}, year = {2003}, pages = {203-217}, zbl = {1060.32003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-3-2} }
Le Mau Hai; Nguyen Quang Dieu; Nguyen Huu Tuyen. Some properties of Reinhardt domains. Annales Polonici Mathematici, Tome 81 (2003) pp. 203-217. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-3-2/