Generalized Besov type spaces on the Laguerre hypergroup
Annales mathématiques Blaise Pascal, Tome 12 (2005) no. 1, pp. 117-145

Voir la notice de l'article provenant de la source Numdam

In this paper we study generalized Besov type spaces on the Laguerre hypergroup and we give some characterizations using different equivalent norms which allows to reach results of completeness, continuous embeddings and density of some subspaces. A generalized Calderón-Zygmund formula adapted to the harmonic analysis on the Laguerre Hypergroup is obtained inducing two more equivalent norms.

DOI : 10.5802/ambp.198

Assal, Miloud 1 ; Ben Abdallah, Hacen 2

1 IPEIN. Campus Universitaire Département de Mathématiques Mrezka 8000 Nabeul Tunisia
2 Faculté des Sciences de Bizerte Département de Mathématiques Zarzouna 7021 Bizerte Tunisia
@article{AMBP_2005__12_1_117_0,
     author = {Assal, Miloud and Ben Abdallah, Hacen},
     title = {Generalized {Besov} type spaces on the {Laguerre} hypergroup},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {117--145},
     publisher = {Annales math\'ematiques Blaise Pascal},
     volume = {12},
     number = {1},
     year = {2005},
     doi = {10.5802/ambp.198},
     zbl = {1098.42016},
     mrnumber = {2126444},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/ambp.198/}
}
TY  - JOUR
AU  - Assal, Miloud
AU  - Ben Abdallah, Hacen
TI  - Generalized Besov type spaces on the Laguerre hypergroup
JO  - Annales mathématiques Blaise Pascal
PY  - 2005
SP  - 117
EP  - 145
VL  - 12
IS  - 1
PB  - Annales mathématiques Blaise Pascal
UR  - http://geodesic.mathdoc.fr/articles/10.5802/ambp.198/
DO  - 10.5802/ambp.198
LA  - en
ID  - AMBP_2005__12_1_117_0
ER  - 
%0 Journal Article
%A Assal, Miloud
%A Ben Abdallah, Hacen
%T Generalized Besov type spaces on the Laguerre hypergroup
%J Annales mathématiques Blaise Pascal
%D 2005
%P 117-145
%V 12
%N 1
%I Annales mathématiques Blaise Pascal
%U http://geodesic.mathdoc.fr/articles/10.5802/ambp.198/
%R 10.5802/ambp.198
%G en
%F AMBP_2005__12_1_117_0
Assal, Miloud; Ben Abdallah, Hacen. Generalized Besov type spaces on the Laguerre hypergroup. Annales mathématiques Blaise Pascal, Tome 12 (2005) no. 1, pp. 117-145. doi: 10.5802/ambp.198

Cité par Sources :