Here we look at a function as a mapping diagram. The inputs to the function g are along the real number line a the top, the outputs of g are on the real number line in the middle. The green point A ...

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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 ∪ ...