Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions

José Bonet; Mikael Lindström; Elke Wolf

doi:10.1007/s00013-012-0458-z

Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions

José Bonet^*, Mikael Lindström, Elke Wolf

^*Corresponding author for this work

Mathematics

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

4 Citations (Scopus)

Abstract

We investigate weighted composition operators that attain their norm on weighted Banach spaces of holomorphic functions on the unit disc of type H^∞. Applications for composition operators on weighted Bloch spaces are given.

Original language	English
Pages (from-to)	537-546
Number of pages	10
Journal	Archiv der Mathematik
Volume	99
Issue number	6
DOIs	https://doi.org/10.1007/s00013-012-0458-z
Publication status	Published - Dec 2012
MoE publication type	A1 Journal article-refereed

Keywords

Bloch spaces
Norm attaining operators
Weighted Banach spaces of holomorphic functions
Weighted composition operators

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10.1007/s00013-012-0458-z

Cite this

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title = "Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions",

abstract = "We investigate weighted composition operators that attain their norm on weighted Banach spaces of holomorphic functions on the unit disc of type H∞. Applications for composition operators on weighted Bloch spaces are given.",

keywords = "Bloch spaces, Norm attaining operators, Weighted Banach spaces of holomorphic functions, Weighted composition operators",

author = "Jos{\'e} Bonet and Mikael Lindstr{\"o}m and Elke Wolf",

note = "Funding Information: Acknowledgements. 1. The authors are thankful to the referee for pointing to us the references [15] and [16] and their relevance in the present research. 2. The research of Bonet was partially supported by MICINN and FEDER Project MTM2010-15200 and by GV project Prometeo/2008/101 and project ACOMP/2012/090.",

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AU - Bonet, José

AU - Lindström, Mikael

AU - Wolf, Elke

N1 - Funding Information: Acknowledgements. 1. The authors are thankful to the referee for pointing to us the references [15] and [16] and their relevance in the present research. 2. The research of Bonet was partially supported by MICINN and FEDER Project MTM2010-15200 and by GV project Prometeo/2008/101 and project ACOMP/2012/090.

PY - 2012/12

Y1 - 2012/12

N2 - We investigate weighted composition operators that attain their norm on weighted Banach spaces of holomorphic functions on the unit disc of type H∞. Applications for composition operators on weighted Bloch spaces are given.

AB - We investigate weighted composition operators that attain their norm on weighted Banach spaces of holomorphic functions on the unit disc of type H∞. Applications for composition operators on weighted Bloch spaces are given.

KW - Bloch spaces

KW - Norm attaining operators

KW - Weighted Banach spaces of holomorphic functions

KW - Weighted composition operators

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U2 - 10.1007/s00013-012-0458-z

DO - 10.1007/s00013-012-0458-z

M3 - Article

AN - SCOPUS:84871266395

SN - 0003-889X

VL - 99

SP - 537

EP - 546

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 6

ER -

Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions

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Keywords

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