In this paper we introduce the homogeneous Besov type spaces ∧p,q^γ(K) on the dual of Laguerre hypergroup K and we establish some new harmonic analysis results. We give some character- izations of these spaces usi...In this paper we introduce the homogeneous Besov type spaces ∧p,q^γ(K) on the dual of Laguerre hypergroup K and we establish some new harmonic analysis results. We give some character- izations of these spaces using equivalent seminorms. Also we study the non-homogeneous Besov type spaces ∧p,q^γ(K). We give some properties of these spaces and embeddings results with respect to their parameters p, q and γ.展开更多
基金Supported by College of Sciences Research Center, Project number (Math/2008/24)
文摘In this paper we introduce the homogeneous Besov type spaces ∧p,q^γ(K) on the dual of Laguerre hypergroup K and we establish some new harmonic analysis results. We give some character- izations of these spaces using equivalent seminorms. Also we study the non-homogeneous Besov type spaces ∧p,q^γ(K). We give some properties of these spaces and embeddings results with respect to their parameters p, q and γ.