Let φ be an analytic self-map of the unit disk. The weak compactness of the composition operators Cφ : f ↦ f o φ is characterized on the vector-valued harmonic Hardy spaces h1 (X), and on the spaces ...
We characterize the compact and weakly compact weighted composition operators on the Banach space Cp(T, X) of those continuous functions from a completely regular Hausdorff space T into a Banach space ...