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

^*Korresponderande författare för detta arbete

Matematik

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

71 Citeringar (Scopus)

Sammanfattning

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.

Originalspråk	Engelska
Sidor (från-till)	151-157
Antal sidor	7
Tidskrift	Integral Equations and Operator Theory
Volym	72
Nummer	2
DOI	https://doi.org/10.1007/s00020-011-1919-7
Status	Publicerad - feb. 2012
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

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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.",

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AU - Saukko, Erno

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AB - 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.

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

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