Bounded superposition operators between weighted Banach spaces of analytic functions

Julio C. Ramos-Fernández

doi:10.1016/j.amc.2012.11.054

Bounded superposition operators between weighted Banach spaces of analytic functions

Complex Variables 2013-11-04 v2

Authors: Julio C. Ramos-Fernández

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Abstract

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 $\mu_2$ .

Keywords

operator theory on banach spaces banach space bergman spaces

Cite

@article{arxiv.1203.5857,
  title  = {Bounded superposition operators between weighted Banach spaces of analytic functions},
  author = {Julio C. Ramos-Fernández},
  journal= {arXiv preprint arXiv:1203.5857},
  year   = {2013}
}

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