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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Bibliographic Details
Main Authors: M. Haji Shaabani, B. Khani Robati
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2009/720217