On the Norm of Certain Weighted Composition Operators on the Hardy Space
We obtain a representation for the norm of certain compact weighted composition operator Cψ,φ on the Hardy space H2, whenever φ(z)=az+b and ψ(z)=az−b. We also estimate the norm and essential norm of a class of noncompact weighted composition operators under certain conditions on φ and ψ. Moreover, w...
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| Veröffentlicht in: | Abstract and applied analysis 2009, Vol.2009 (2009), p.1-13 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We obtain a representation for the norm of certain compact weighted composition operator Cψ,φ on the Hardy space H2, whenever φ(z)=az+b and ψ(z)=az−b. We also estimate the norm and essential norm of a class of noncompact weighted composition operators under certain conditions on φ and ψ. Moreover, we characterize the norm and essential norm of such operators in a special case. |
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| ISSN: | 1085-3375 1687-0409 |