Composition Operators on Weighted Bergman Spaces of a Half Plane

نویسنده

  • SAM ELLIOTT
چکیده

We use induction and interpolation techniques to prove that a composition operator induced by a map φ is bounded on the weighted Bergman space Aα(H) of the right half-plane if and only if φ fixes ∞ non-tangentially, and has a finite angular derivative λ there. We further prove that in this case the norm, essential norm, and spectral radius of the operator are all equal, and given by λ.

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تاریخ انتشار 2009