Some properties of Reinhardt domains

• Autorzy: Le Mau Hai , Nguyen Quang Dieu , Nguyen Huu Tuyen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32A07: Special domains (Reinhardt, Hartogs, circular, tube)
• 32D15: Continuation of analytic objects
• 32T05: Domains of holomorphy

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 82
• Numer: 3
• Strony: 203-217

Daty

wydano

2003

Twórcy

autor

Le Mau Hai

• Department of Mathematics, University of Education, Cau Giay, Tu Liem, Hanoi, Vietnam

autor

Nguyen Quang Dieu

• Department of Mathematics, University of Education, Cau Giay, Tu Liem, Hanoi, Vietnam

autor

Nguyen Huu Tuyen

• Department of Mathematics, University of Education, Cau Giay, Tu Liem, Hanoi, Vietnam

Identyfikatory

DOI

10.4064/ap82-3-2