On the Norm of Certain Weighted Composition Operators on the Hardy Space

الملخص EN

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.