Generalized Besov type spaces on the Laguerre hypergroup
Assal, Miloud ; Ben Abdallah, Hacen
Annales mathématiques Blaise Pascal, Tome 12 (2005), p. 117-145 / Harvested from Numdam
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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},
     volume = {12},
     year = {2005},
     pages = {117-145},
     doi = {10.5802/ambp.198},
     zbl = {1098.42016},
     mrnumber = {2126444},
     language = {en},
     url = {http://dml.mathdoc.fr/item/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) pp. 117-145. doi : 10.5802/ambp.198. http://gdmltest.u-ga.fr/item/AMBP_2005__12_1_117_0/

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