1Département de mathématiques et de statistique Université Laval Québec, QC, Canada G1K 7P4 2CMI, LATP Université de Provence 39, Rue F. Joliot-Curie 13453 Marseille Cedex 13, France
Studia Mathematica, Tome 198 (2010) no. 2, pp. 147-156
Zero sets and uniqueness sets of the classical Dirichlet space
$\mathcal{D}$ are not completely characterized yet.
We define the concept of admissible functions for the Dirichlet space
and then apply them to obtain a new
class of zero sets for $\mathcal{D}$. Then we discuss the relation between
the zero sets of $\mathcal{D}$ and those of $\mathcal{A}^\infty$.
Keywords:
zero sets uniqueness sets classical dirichlet space mathcal completely characterized yet define concept admissible functions dirichlet space apply obtain class zero sets mathcal discuss relation between zero sets mathcal those mathcal infty
Affiliations des auteurs :
Javad Mashreghi
1
;
Mahmood Shabankhah
2
1
Département de mathématiques et de statistique Université Laval Québec, QC, Canada G1K 7P4
2
CMI, LATP Université de Provence 39, Rue F. Joliot-Curie 13453 Marseille Cedex 13, France
@article{10_4064_sm198_2_3,
author = {Javad Mashreghi and Mahmood Shabankhah},
title = {Admissible functions for the {Dirichlet} space},
journal = {Studia Mathematica},
pages = {147--156},
year = {2010},
volume = {198},
number = {2},
doi = {10.4064/sm198-2-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm198-2-3/}
}
TY - JOUR
AU - Javad Mashreghi
AU - Mahmood Shabankhah
TI - Admissible functions for the Dirichlet space
JO - Studia Mathematica
PY - 2010
SP - 147
EP - 156
VL - 198
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4064/sm198-2-3/
DO - 10.4064/sm198-2-3
LA - en
ID - 10_4064_sm198_2_3
ER -
%0 Journal Article
%A Javad Mashreghi
%A Mahmood Shabankhah
%T Admissible functions for the Dirichlet space
%J Studia Mathematica
%D 2010
%P 147-156
%V 198
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm198-2-3/
%R 10.4064/sm198-2-3
%G en
%F 10_4064_sm198_2_3
Javad Mashreghi; Mahmood Shabankhah. Admissible functions for the Dirichlet space. Studia Mathematica, Tome 198 (2010) no. 2, pp. 147-156. doi: 10.4064/sm198-2-3
