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

Olli Hyvärinen; Mika Kemppainen; Mikael Lindström; Antti Rautio; Erno Saukko

doi:10.1007/s00020-011-1919-7

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

Olli Hyvärinen^*, Mika Kemppainen, Mikael Lindström, Antti Rautio, Erno Saukko

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › Scientific › peer-review

70 Citations (Scopus)

Abstract

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 → ℂ 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.

Original language	English
Pages (from-to)	151-157
Number of pages	7
Journal	Integral Equations and Operator Theory
Volume	72
Issue number	2
DOIs	https://doi.org/10.1007/s00020-011-1919-7
Publication status	Published - Feb 2012
MoE publication type	A1 Journal article-refereed

Keywords

Essential norm
weighted composition operator

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10.1007/s00020-011-1919-7

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AU - Saukko, Erno

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

Abstract

Keywords

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