Let $D$ be a domain in ${{\mathbb C}}^n$. We introduce a class of pluripolar sets in $D$ which is essentially contained in the class of complete pluripolar sets. An application of this new class to the problem of approximation of holomorphic functions is also given.
Keywords:
domain mathbb introduce class pluripolar sets which essentially contained class complete pluripolar sets application class problem approximation holomorphic functions given
Affiliations des auteurs :
Nguyen Quang Dieu
1
;
Tang Van Long
1
1
Department of Mathematics Hanoi University of Education (Dai Hoc Su Pham Hanoi) Cau Giay, Tu Liem, Hanoi, Vietnam
@article{10_4064_ap90_3_4,
author = {Nguyen Quang Dieu and Tang Van Long},
title = {A new class of pluripolar sets},
journal = {Annales Polonici Mathematici},
pages = {229--245},
year = {2007},
volume = {90},
number = {3},
doi = {10.4064/ap90-3-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap90-3-4/}
}
TY - JOUR
AU - Nguyen Quang Dieu
AU - Tang Van Long
TI - A new class of pluripolar sets
JO - Annales Polonici Mathematici
PY - 2007
SP - 229
EP - 245
VL - 90
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.4064/ap90-3-4/
DO - 10.4064/ap90-3-4
LA - en
ID - 10_4064_ap90_3_4
ER -
%0 Journal Article
%A Nguyen Quang Dieu
%A Tang Van Long
%T A new class of pluripolar sets
%J Annales Polonici Mathematici
%D 2007
%P 229-245
%V 90
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/ap90-3-4/
%R 10.4064/ap90-3-4
%G en
%F 10_4064_ap90_3_4
Nguyen Quang Dieu; Tang Van Long. A new class of pluripolar sets. Annales Polonici Mathematici, Tome 90 (2007) no. 3, pp. 229-245. doi: 10.4064/ap90-3-4
