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arXiv · 1605.01859

Spectra of linear fractional composition operators on the Hardy and weighted Bergman spaces of the half-plane

Riikka Schroderus
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Abstract

We compute the spectra and the essential spectra of bounded linear fractional composition operators acting on the Hardy and weighted Bergman spaces of the upper half-plane. We are also able to extend the results to weighted Dirichlet spaces of the upper half-plane.

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Riikka Schroderus. 2016-05-06. Spectra of linear fractional composition operators on the Hardy and weighted Bergman spaces of the half-plane. https://doi.org/10.1016/j.jmaa.2016.10.050

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