Composition operators, defined by the rule f ↦ f ∘ φ for an analytic function φ, have long been a pivotal tool in analysing the interplay between different function spaces. In particular, Bloch-type ...

For an arbitrary Hilbert space 𝓔, the Segal–Bargmann space 𝓗(𝓔) is the reproducing kernel Hilbert space associated with the kernel K(x, y) = exp(〈x, y〉) for x, y in 𝓔. If φ : 𝓔₁ → 𝓔₂ is a ...