Abstract

We characterize nuclear weighted composition operators W ψ , φ f = ψ ( f ∘ φ ) W_{\psi ,\varphi }f=\psi (f\circ \varphi ) on weighted Banach spaces of analytic functions with sup-norms. Consequences about nuclear composition operators on Bloch type spaces are presented. They extend previous work by Fares and Lefèvre on nuclear composition operators on Bloch spaces. Examples of nuclear as well as compact and non-nuclear weighted composition operators are given.

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