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.
@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://archive.numdam.org/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://archive.numdam.org/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://archive.numdam.org/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. http://archive.numdam.org/articles/10.5802/ambp.198/
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