Products of Volterra-type operators and composition operators from analytic Morrey spaces into Zygmund spaces

摘要

In recent years the composition operator C_Φ has been received much attention and appear in various settings in the literature. It is interesting to provide a function theoretic characterization when Φ induces a bounded or compact composition operator on various function spaces. In this paper we consider the products of Volterra-type operators and composition operators. We characterize the boundedness and compactness of the products of Volterra-type operators and composition operators T_gC_Φ and I_gC_Φ from the analytic Morrey spaces L~(2,λ) to the Zygmund space Z, and the little analytic Morrey spaces L_0~(2,λ) to the little Zygmund space Z_0 over the unit disk, respectively.