The Essential Norm of Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions

摘要

For a wide class of radial weights we calculate the essential norm of a weighted composition operator uCφ on the weighted Banach spaces of analytic functions in terms of the analytic function u:D → ? and the nth power of the analytic selfmap φ of the open unit disc D. We also apply our result to calculate the essential norm of composition operators acting on Bloch type spaces with general radial weights.