Bounded superposition operators between weighted Banach spaces of analytic functions

Abstract

We characterize all entire functions that transform a weighted Banach spaces of analytic functions ${\mathcal{H}}_{{\mu }_1}^{\infty }$ into another space of the same kind ${\mathcal{H}}_{{\mu }_2}^{\infty }$ by superposition for very general weights ${\mu }_1$ and ${\mu }_2$.

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