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

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

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Bonet Solves, JA.; Lindström, M.; Wolf, E. (2012). Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions. Archiv der Mathematik. 99(6):537-546. https://doi.org/10.1007/s00013-012-0458-z

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Título: Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions
Autor: Bonet Solves, José Antonio LINDSTRÖM, MIKAEL Wolf, Elke
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
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. ...[+]
Palabras clave: Bloch spaces , Norm attaining operators , Weighted Banach spaces of holomorphic functions , Weighted composition operators
Derechos de uso: Reserva de todos los derechos
Fuente:
Archiv der Mathematik. (issn: 0003-889X )
DOI: 10.1007/s00013-012-0458-z
Editorial:
Springer Verlag (Germany)
Versión del editor: http://link.springer.com/article/10.1007%2Fs00013-012-0458-z
Código del Proyecto:
info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/
info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/
info:eu-repo/grantAgreement/GVA//ACOMP%2F2012%2F090/
Descripción: The final publication is available at Springer via http://dx.doi.org/10.1007/s00013-012-0458-z
Agradecimientos:
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 ...[+]
Tipo: Artículo

References

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Bierstedt K.D., Bonet J., Galbis A.: Weighted spaces of holomorphic functions on bounded domains. Michigan Math. J. 40, 271–297 (1993)

Bierstedt K.D., Bonet J., Taskinen J.: Associated weights and spaces of holomorphic functions. Studia Math. 127, 137–168 (1998)

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