- -

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

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

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

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: BonetLindstromWolf.pdf
Tamaño: 227.2Kb
Formato: PDF
Descripción: Versión del Autor.
Abrir
[Cerrado]
Nombre: BLW_Archiv99(2012 ...
Tamaño: 214.5Kb
Formato: PDF
Descripción: Versión editorial
Solicitar una copia al autor
dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author LINDSTRÖM, MIKAEL es_ES
dc.contributor.author Wolf, Elke es_ES
dc.date.accessioned 2014-09-18T12:38:35Z
dc.date.available 2014-09-18T12:38:35Z
dc.date.issued 2012-12-07
dc.identifier.issn 0003-889X
dc.identifier.uri http://hdl.handle.net/10251/39738
dc.description The final publication is available at Springer via http://dx.doi.org/10.1007/s00013-012-0458-z es_ES
dc.description.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. © 2012 Springer Basel. es_ES
dc.description.sponsorship 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. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Archiv der Mathematik es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Bloch spaces es_ES
dc.subject Norm attaining operators es_ES
dc.subject Weighted Banach spaces of holomorphic functions es_ES
dc.subject Weighted composition operators es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00013-012-0458-z
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//ACOMP%2F2012%2F090/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation 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 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://link.springer.com/article/10.1007%2Fs00013-012-0458-z es_ES
dc.description.upvformatpinicio 537 es_ES
dc.description.upvformatpfin 546 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 99 es_ES
dc.description.issue 6 es_ES
dc.relation.senia 235762
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.description.references Bierstedt K.D., Bonet J., Galbis A.: Weighted spaces of holomorphic functions on bounded domains. Michigan Math. J. 40, 271–297 (1993) es_ES
dc.description.references Bierstedt K.D., Bonet J., Taskinen J.: Associated weights and spaces of holomorphic functions. Studia Math. 127, 137–168 (1998) es_ES
dc.description.references J. Bonet, P. Domański, and M. Lindström, Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions. Canad, Math. Bull. 42, no. 2, (1999), 139–148 es_ES
dc.description.references Bonet J. et al.: Composition operators between weighted Banach spaces of analytic functions. J. Austral. Math. Soc. Ser. A 64, 101–118 (1998) es_ES
dc.description.references Bonet J., Lindström M, Wolf E.: Isometric weighted composition operators on weighted Banach spaces of type H ∞. Proc. Amer. Math. Soc. 136, 4267–4273 (2008) es_ES
dc.description.references Bonet J, Wolf E.: A note on weighted spaces of holomorphic functions. Archiv Math. 81, 650–654 (2003) es_ES
dc.description.references Contreras M.D, Hernández-Díaz A.G.: Weighted composition operators in weighted banach spaces of analytic functions. J. Austral. Math. Soc. Ser. A 69, 41–60 (2000) es_ES
dc.description.references Cowen C., MacCluer B.: Composition Operators on Spaces of Analytic Functions. CRC Press, Boca Raton (1995) es_ES
dc.description.references J. Diestel, Geometry of Banach Spaces. Selected Topics, Lecture Notes in Math. vol. 485, Springer, Berlin, 1975. es_ES
dc.description.references Hammond C.: On the norm of a composition operator with linear fractional symbol. Acta Sci. Math. (Szeged) 69, 813–829 (2003) es_ES
dc.description.references Hosokawa T., Izuchi K., Zheng D.: Isolated points and essential components of composition operators on H ∞. Proc. Amer. Math. Soc. 130, 1765–1773 (2001) es_ES
dc.description.references Hosokava T., Ohno S.: Topological strusctures of the sets of composition operatorson the Bloch spaces. J. Math. anal. Appl. 303, 499–508 (2005) es_ES
dc.description.references Lusky W.: On the isomorphy classes of weighted spaces of harmonic and holomorphic functions. Studia Math. 175, 19–45 (2006) es_ES
dc.description.references Martín M.: Norm-attaining composition operators on the Bloch spaces. J. Math. Anal. Appl. 369, 15–21 (2010) es_ES
dc.description.references A. Montes-Rodríguez, The Pick-Schwarz lemma and composition operators on Bloch spaces, International Workshop on Operator Theory (Cefalu, 1997), Rend. Circ. Mat. Palermo (2) Suppl. 56 (1998), 167–170. es_ES
dc.description.references Montes-Rodríguez A.: The essential norm of a composition operator on Bloch spaces. Pacific J. Math. 188, 339–351 (1999) es_ES
dc.description.references Montes-Rodríguez A.: Weighted composition operators on weighted Banach spaces of analytic functions. J. London Math. Soc. 61, 872–884 (2000) es_ES
dc.description.references J.H. Shapiro, Composition Operators and Classical Function Theory, Springer, 1993. es_ES
dc.description.references K. Zhu, Operator Theory in Function Spaces, Second Edition. Amer. Math. Soc., 2007. es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem