B-regularity of certain domains in ℂⁿ

Nguyen Quang Dieu; Nguyen Thac Dung; Dau Hoang Hung

Annales Polonici Mathematici (2005)

  • Volume: 86, Issue: 2, page 137-152
  • ISSN: 0066-2216

Abstract

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We study the B-regularity of some classes of domains in ℂⁿ. 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.

How to cite

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Nguyen Quang Dieu, Nguyen Thac Dung, and Dau Hoang Hung. "B-regularity of certain domains in ℂⁿ." Annales Polonici Mathematici 86.2 (2005): 137-152. <http://eudml.org/doc/280746>.

@article{NguyenQuangDieu2005,
abstract = {We study the B-regularity of some classes of domains in ℂⁿ. 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.},
author = {Nguyen Quang Dieu, Nguyen Thac Dung, Dau Hoang Hung},
journal = {Annales Polonici Mathematici},
keywords = {hyperconvex domain; -regular domain; Reinhardt domain; Hartogs domain; Jensen measure; plurisubharmonic barrier},
language = {eng},
number = {2},
pages = {137-152},
title = {B-regularity of certain domains in ℂⁿ},
url = {http://eudml.org/doc/280746},
volume = {86},
year = {2005},
}

TY - JOUR
AU - Nguyen Quang Dieu
AU - Nguyen Thac Dung
AU - Dau Hoang Hung
TI - B-regularity of certain domains in ℂⁿ
JO - Annales Polonici Mathematici
PY - 2005
VL - 86
IS - 2
SP - 137
EP - 152
AB - We study the B-regularity of some classes of domains in ℂⁿ. 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.
LA - eng
KW - hyperconvex domain; -regular domain; Reinhardt domain; Hartogs domain; Jensen measure; plurisubharmonic barrier
UR - http://eudml.org/doc/280746
ER -

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