Generalized Besov type spaces on the dual of the Laguerre hypergroup

In this paper we introduce the homogeneous Besov type spaces on the dual of Laguerre hypergroup and we establish some new harmonic analysis results. We give some characterizations of these spaces using equivalent seminorms. Also we study the non-homogeneous Besov type spaces . We give some properties of these spaces and embeddings results with respect to their parameters p, q and .