Geodesic
$B$-regularity of certain domains in ${\Bbb C}^n$
Nguyen Quang Dieu1 ; Nguyen Thac Dung2 ; Dau Hoang Hung3
1 Department of Mathematics Hanoi University of Education (Dai Hoc Su Pham Hanoi) Cau Giay, Tu Liem, Hanoi, Vietnam
2 Department of Mathematics Hanoi National University Nguyen Trai, Thanh Xuan, Hanoi, Vietnam
3 Department of Mathematics Vinh University Vinh, Nghe An, Vietnam
Annales Polonici Mathematici, Tome 86 (2005) no. 2, pp. 137-152.

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

We study the $B$-regularity of some classes of domains in ${{\mathbb C}}^n$. The results include a complete characterization of $B$-regularity in the class of Reinhardt domains, we also give some sufficient conditions for Hartogs domains to be $B$-regular. The last result yields sufficient conditions for preservation of $B$-regularity under holomorphic mappings.
DOI : 10.4064/ap86-2-4
Keywords: study b regularity classes domains mathbb results include complete characterization b regularity class reinhardt domains sufficient conditions hartogs domains b regular result yields sufficient conditions preservation b regularity under holomorphic mappings

Nguyen Quang Dieu 1 ; Nguyen Thac Dung 2 ; Dau Hoang Hung 3

1 Department of Mathematics Hanoi University of Education (Dai Hoc Su Pham Hanoi) Cau Giay, Tu Liem, Hanoi, Vietnam
2 Department of Mathematics Hanoi National University Nguyen Trai, Thanh Xuan, Hanoi, Vietnam
3 Department of Mathematics Vinh University Vinh, Nghe An, Vietnam 
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Nguyen Quang Dieu; Nguyen Thac Dung; Dau Hoang Hung. $B$-regularity of certain domains in ${\Bbb C}^n$. Annales Polonici Mathematici, Tome 86 (2005) no. 2, pp. 137-152. doi : 10.4064/ap86-2-4. http://geodesic.mathdoc.fr/articles/10.4064/ap86-2-4/

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