Some properties of Reinhardt domains

Le Mau Hai, Nguyen Quang Dieu, and Nguyen Huu Tuyen. "Some properties of Reinhardt domains." Annales Polonici Mathematici 82.3 (2003): 203-217. <http://eudml.org/doc/280458>.

@article{LeMauHai2003,
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 $Δ_*$ into D can be extended holomorphically to a map from Δ into D.},
author = {Le Mau Hai, Nguyen Quang Dieu, Nguyen Huu Tuyen},
journal = {Annales Polonici Mathematici},
keywords = {fat Reinhardt domain; pseudoconvex domain; hyperconvex domain; compact Stein Reinhardt sets; plurisubharmonic function; extending holomorphic mappings; bounded holomorphic function of polynomial growth; domain of holomorphy},
language = {eng},
number = {3},
pages = {203-217},
title = {Some properties of Reinhardt domains},
url = {http://eudml.org/doc/280458},
volume = {82},
year = {2003},
}

TY - JOUR
AU - Le Mau Hai
AU - Nguyen Quang Dieu
AU - Nguyen Huu Tuyen
TI - Some properties of Reinhardt domains
JO - Annales Polonici Mathematici
PY - 2003
VL - 82
IS - 3
SP - 203
EP - 217
AB - 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.
LA - eng
KW - fat Reinhardt domain; pseudoconvex domain; hyperconvex domain; compact Stein Reinhardt sets; plurisubharmonic function; extending holomorphic mappings; bounded holomorphic function of polynomial growth; domain of holomorphy
UR - http://eudml.org/doc/280458
ER -