Abstract

We characterize all entire functions $$\phi $$ that maps a logarithmic Bloch-type space $${\mathcal {B}}^\alpha _{\log ^\beta }$$ into another of the same kind by superposition. As consequences of our study, we obtain several results about the boundedness of superposition operators acting between $$\alpha $$ -Bloch spaces, Bloch–Orlicz spaces among others.

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