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 ...
The boundedness and compactness of a product-type operator, recently introduced by S. Stević, A. Sharma and R. Krishan, T ψ 1 , ψ 2 ,φ n f( z )= ψ 1 ( z ) f ( n ) ( φ( z ) )+ ψ 1 ( z ) f ( n+1 ) ( φ( ...