Composition operators, defined by the mapping f ↦ f ∘ φ where φ is a suitable self-map, constitute a vital class of operators in functional analysis. Their study using ergodic theory has shed light on ...

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 ...

We investigate composition operators between spaces of analytic functions on the unit disk Δ in the complex plane. The spaces we consider are the weighted Nevanlinna class 𝓝α, which consists of all ...