Hermitian composition operators on Hardy-Smirnov spaces

Let Ω be an open simply connected proper subset of the complex plane and φ an analytic self map of Ω. If f is in the Hardy-Smirnov space defined on Ω, then the operator that takes f to f º φ is a composition operator. We show that for any Ω, analytic self maps that induce bounded Hermitian compositi...

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Bibliographic Details
Main Author: Gunatillake Gajath
Format: Article
Language:English
Published: De Gruyter 2017-01-01
Series:Concrete Operators
Subjects:
Online Access:https://doi.org/10.1515/conop-2017-0002