Inequalities on Hardy and higher-power weighted Bergman spaces of composition operators

Abstract

Let D be the open unit disk in the complex plane and let φ : D → D be an analytic self-map. If H is a Hilbert space of analytic functions f : D → C, the composition operator Cφ onH is defined by Cφ(f) = f ◦ φ for all f ∈ H. While there are some Hilbert spaces (for example, the Dirichlet space) where the composition operators are unbounded, every analytic… (More)

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Cite this paper

@inproceedings{Elniela2015InequalitiesOH, title={Inequalities on Hardy and higher-power weighted Bergman spaces of composition operators}, author={Elhadi Elniela and Shawgy Hussein}, year={2015} }