Hermitian composition operators on Hardy-Smirnov spaces
Abstract: 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 composition operators are of the form Φ(w) = aw + b where a is a real number. For ceratin Ω, we completely describe values of a and b that induce bounded Hermitian composition operators.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Hermitian composition operators on Hardy-Smirnov spaces ; volume:4 ; number:1 ; year:2017 ; pages:7-17 ; extent:11
Concrete operators ; 4, Heft 1 (2017), 7-17 (gesamt 11)
- Creator
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Gunatillake, Gajath
- DOI
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10.1515/conop-2017-0002
- URN
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urn:nbn:de:101:1-2410301534565.075555118641
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:23 AM CEST
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Associated
- Gunatillake, Gajath
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