Bounded superposition operators between weighted Banach spaces of analytic functions

Details Bounded superposition operators between weighted Banach spaces of analytic functions Bounded superposition operators between weighted Banach spaces of analytic functions

2012-03-27

arxiv.org/abs/1203.5857v1

Mathematics

Complex Variables

9 pages

Scientific paper

We characterize all entire functions that transform a weighted Banach spaces
of analytic functions $\mathcal{H}^{\infty}_{\mu_1}$ into another space of the
same kind $\mathcal{H}^{\infty}_{\mu_2}$ by superposition for very general
weights $\mu_1$ and $\mu_2$.

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