A+ CATEGORY SCIENTIFIC UNIT

$B$-regularity of certain domains in ${\Bbb C}^n$

Volume 86 / 2005

Nguyen Quang Dieu, Nguyen Thac Dung, Dau Hoang Hung Annales Polonici Mathematici 86 (2005), 137-152 MSC: Primary 32F05; Secondary 32F07, 32A07, 31C10. DOI: 10.4064/ap86-2-4

Abstract

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.

Authors

  • Nguyen Quang DieuDepartment of Mathematics
    Hanoi University of Education
    (Dai Hoc Su Pham Hanoi)
    Cau Giay, Tu Liem, Hanoi, Vietnam
    e-mail
    e-mail
  • Nguyen Thac DungDepartment of Mathematics
    Hanoi National University
    Nguyen Trai, Thanh Xuan, Hanoi, Vietnam
  • Dau Hoang HungDepartment of Mathematics
    Vinh University
    Vinh, Nghe An, Vietnam

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