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