Geodesic
Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line
Fractional calculus and applied analysis, Tome 9 (2006) no. 3, pp. 287-306.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

We introduce some new weighted Herz spaces associated with the Dunkl operator on R. Also we characterize by atomic decompositions the corresponding Herz-type Hardy spaces. As applications we investigate the Dunkl transform on these spaces and establish a version of Hardy inequality for this transform.
Keywords: Dunkl Operator, Dunkl Kernel, Dunkl Transform, Dunkl Translation Operators, Herz-Type Hardy Spaces, Atomic Decompositions, 46F12, 44A15, 44A35 
@article{FCAA_2006_9_3_a5,
     author = {Gasmi, A. and Sifi, M. and Soltani, F.},
     title = {Herz-Type {Hardy} {Spaces} for the {Dunkl} {Operator} on the {Real} {Line}},
     journal = {Fractional calculus and applied analysis},
     pages = {287--306},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FCAA_2006_9_3_a5/}
}
TY  - JOUR
AU  - Gasmi, A.
AU  - Sifi, M.
AU  - Soltani, F.
TI  - Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line
JO  - Fractional calculus and applied analysis
PY  - 2006
SP  - 287
EP  - 306
VL  - 9
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FCAA_2006_9_3_a5/
LA  - en
ID  - FCAA_2006_9_3_a5
ER  - 
%0 Journal Article
%A Gasmi, A.
%A Sifi, M.
%A Soltani, F.
%T Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line
%J Fractional calculus and applied analysis
%D 2006
%P 287-306
%V 9
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FCAA_2006_9_3_a5/
%G en
%F FCAA_2006_9_3_a5
Gasmi, A.; Sifi, M.; Soltani, F. Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line. Fractional calculus and applied analysis, Tome 9 (2006) no. 3, pp. 287-306. http://geodesic.mathdoc.fr/item/FCAA_2006_9_3_a5/