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

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 = {Miloud Assal and Hacen Ben Abdallah},
     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},
     mrnumber = {2126444},
     zbl = {1098.42016},
     language = {en},
     url = {https://ambp.centre-mersenne.org/articles/10.5802/ambp.198/}
}
Miloud Assal; Hacen Ben Abdallah. 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. https://ambp.centre-mersenne.org/articles/10.5802/ambp.198/

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