The study of composition operators and Bloch spaces within complex Banach spaces has emerged as a vibrant area of modern analysis. Bloch spaces, originally introduced in the context of holomorphic ...

Abstract We determine precise conditions for the boundedness of Bergman projections from Lebesgue classes onto the spaces in the title, which are members of the same one-parameter family of spaces.

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 ...

Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences, Vol. 81A, No. 2 (1981), pp. 217-223 (7 pages) Let E be a nuclear Fréchet space. For open subsets U in E let H(U) ...