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

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Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

70 Sitaatiot (Scopus)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	151-157
Sivumäärä	7
Julkaisu	Integral Equations and Operator Theory
Vuosikerta	72
Numero	2
DOI - pysyväislinkit	https://doi.org/10.1007/s00020-011-1919-7
Tila	Julkaistu - helmik. 2012
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

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10.1007/s00020-011-1919-7

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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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author = "Olli Hyv{\"a}rinen and Mika Kemppainen and Mikael Lindstr{\"o}m and Antti Rautio and Erno Saukko",

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T1 - The Essential Norm of Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions

AU - Hyvärinen, Olli

AU - Kemppainen, Mika

AU - Lindström, Mikael

AU - Rautio, Antti

AU - Saukko, Erno

PY - 2012/2

Y1 - 2012/2

N2 - 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.

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.

KW - Essential norm

KW - weighted composition operator

UR - http://www.scopus.com/inward/record.url?scp=84855689074&partnerID=8YFLogxK

U2 - 10.1007/s00020-011-1919-7

DO - 10.1007/s00020-011-1919-7

M3 - Article

AN - SCOPUS:84855689074

SN - 0378-620X

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SP - 151

EP - 157

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 2

ER -

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

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