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 ...

Taiwanese Journal of Mathematics, Vol. 24, No. 2 (April 2020), pp. 355-376 (22 pages) Let H(𝔻) denote the space of holomorphic functions on the unit disk 𝔻 of ℂ, ψ, φ ∈ H(𝔻), φ(𝔻) ⊂ 𝔻 and n ∈ ℕ ∪ ...