Nuclear composition operators on Bloch spaces

Fares, Tonie; Lefèvre, Pascal

doi:10.1090/proc/14915

Nuclear composition operators on Bloch spaces
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by Tonie Fares and Pascal Lefèvre PDF

Proc. Amer. Math. Soc. 148 (2020), 2487-2496 Request permission

Abstract:

We characterize the nuclear composition operators $C_{\varphi }f=f\circ \varphi$ on the classical and little Bloch spaces. In addition, we construct an example of a conformal mapping of the unit disk $\mathbb {D}$ into itself which has a contact point with the unit circle $\mathbb {T}$, and induces a nuclear composition operator.

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