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

^*Korresponderande författare för detta arbete

Matematik

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

5 Citeringar (Scopus)

Sammanfattning

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.

Originalspråk	Engelska
Sidor (från-till)	537-546
Antal sidor	10
Tidskrift	Archiv der Mathematik
Volym	99
Nummer	6
DOI	https://doi.org/10.1007/s00013-012-0458-z
Status	Publicerad - dec. 2012
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

Finansiering

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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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.

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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

UR - https://www.scopus.com/pages/publications/84871266395

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DO - 10.1007/s00013-012-0458-z

M3 - Article

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

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