- -

Superposition operators between weighted Banach spaces of analytic functions of controlled growth

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Superposition operators between weighted Banach spaces of analytic functions of controlled growth

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: Bonet_Vukotic_sup ...
Tamaño: 165.1Kb
Formato: PDF
Descripción: Versión del Autor.
Abrir
[Cerrado]
Nombre: Bo_Vukotic_10.100 ...
Tamaño: 399.1Kb
Formato: PDF
Descripción: Versión editorial
Solicitar una copia al autor
dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Vukotić, Dragan es_ES
dc.date.accessioned 2014-10-03T14:23:23Z
dc.date.available 2014-10-03T14:23:23Z
dc.date.issued 2013-07
dc.identifier.issn 0026-9255
dc.identifier.uri http://hdl.handle.net/10251/40646
dc.description The final publication is available at Springer via: http://dx.doi.org/10.1007/s00605-012-0441-6 es_ES
dc.description.abstract [EN] We characterize the entire functions which transform a weighted Banach space of holomorphic functions on the disc of type H∞ into another such space by superposition. We also show that all the superposition operators induced by such entire functions map bounded sets into bounded sets and are continuous. Superposition operators that map bounded sets into relatively compact sets are also considered. © 2012 Springer-Verlag Wien. es_ES
dc.description.sponsorship The research of Bonet was partially supported by MICINN and FEDER Project MTM2010-15200, by GV project Prometeo/2008/101, and by ACOMP/2012/090. The research of Vukotic was partially supported by MICINN grant MTM2009-14694-C02-01, Spain and by the European ESF Network HCAA ("Harmonic and Complex Analysis and Its Applications"). en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Monatshefte für Mathematik es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Superposition operators es_ES
dc.subject Weighted Banach spaces es_ES
dc.subject Entire functions es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Superposition operators between weighted Banach spaces of analytic functions of controlled growth es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00605-012-0441-6
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.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2009-14694-C02-01/ES/Funciones Armonicas Y Analiticas Univalentes Y Teoria De Operadores/ 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.; Vukotić, D. (2013). Superposition operators between weighted Banach spaces of analytic functions of controlled growth. Monatshefte für Mathematik. 170(3-4):311-323. https://doi.org/10.1007/s00605-012-0441-6 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s00605-012-0441-6 es_ES
dc.description.upvformatpinicio 311 es_ES
dc.description.upvformatpfin 323 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 170 es_ES
dc.description.issue 3-4 es_ES
dc.relation.senia 257609
dc.identifier.eissn 1436-5081
dc.contributor.funder Generalitat Valenciana es_ES
dc.description.references Álvarez, V., Márquez, M.A., Vukotić, D.: Superposition operators between the Bloch space and Bergman spaces. Ark. Mat. 42, 205–216 (2004) es_ES
dc.description.references Appell, J., Zabrejko, P.P.: Nonlinear Superposition Operators, Cambridge Tracts in Mathematics 95. Cambridge University Press, London (1990) es_ES
dc.description.references Appell, J., Zabrejko, P.P.: Remarks on the superposition operator problem in various function spaces. Complex Var. Elliptic Equ. 55(8–10), 727–737 (2010) 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 Bonet, J., Domański, P., Lindström, M.: Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions. Can. Math. Bull. 42(2), 139–148 (1999) es_ES
dc.description.references Bonet, J., Domański, P., Lindström, M., Taskinen, J.: Composition operators between weighted Banach spaces of analytic functions. J. Aust. Math. Soc. (Ser. A) 64, 101–118 (1998) es_ES
dc.description.references Boyd, C., Rueda, P.: Holomorphic superposition operators between Banach function spaces. Preprint (2011) es_ES
dc.description.references Boyd, C., Rueda, P.: Superposition operators between weighted spaces of analytic functions. Preprint (2011) es_ES
dc.description.references Buckley, S.M., Fernández, J.L., Vukotić, D.: Superposition operators on Dirichlet type spaces. In: Papers on Analysis: A Volume dedicaed to Olli Martio on the occasion of his 60th birthday. Rep. Univ. Jyväskyla Dept. Math. Stat, vol. 83, pp. 41–61. Univ. Jyväskyla, Jyväskyla (2001) es_ES
dc.description.references Buckley, S.M., Vukotić, D.: Univalent interpolation in Besov spaces and superposition into Bergman spaces. Potential Anal. 29(1), 1–16 (2008) es_ES
dc.description.references Cámera, G.A.: Nonlinear superposition on spaces of analytic functions. In: Harmonic Analysis and Operator Theory (Carácas, 1994), Contemp. Math, vol. 189, pp. 103–116. Am. Math. Soc, Providence (1995) es_ES
dc.description.references Cámera, G.A., Giménez, J.: The nonlinear superposition operators acting on Bergman spaces. Compositio Math. 93, 23–35 (1994) es_ES
dc.description.references Castillo, R.E., Ramos Fernández, J.C., Salazar, M.: Bounded superposition operators between Bloch-Orlicz and $$\alpha $$ -Bloch spaces. Appl. Math. Comp. 218, 3441–3450 (2011) es_ES
dc.description.references Dineen, S.: Complex Analysis in Locally Convex Spaces, vol. 57. North-Holland Math. Studies, Amsterdam (1981) es_ES
dc.description.references Girela, D., Márquez, M.A.: Superposition operators between $$Q_p$$ spaces and Hardy spaces. J. Math. Anal. Appl. 364, 463–472 (2010) es_ES
dc.description.references Grosse-Erdmann, K.-G.: A weak criterion for vector-valued holomorphic functions. Math. Proc. Camb. Publ. Soc. 136, 399–41 (2004) es_ES
dc.description.references Harutyunyan, A., Lusky, W.: On the boundedness of the differentiation operator between weighted spaces of holomorphic functions. Studia Math. 184, 233–247 (2008) es_ES
dc.description.references Langenbruch, M.: Continuation of Gevrey regularity for solutions of partial differential operators. In: Functional Analysis (Trier, 1994), pp. 249–280. de Gruyter, Berlin (1996) es_ES
dc.description.references Levin, B.Ya.: Lectures on Entire Functions. Translations of Mathematical Monographs, vol. 150, Amer. Math. Soc., Providence (1996). es_ES
dc.description.references Lusky, W.: On weighted spaces of harmonic and holomorphic functions. J. Lond. Math. Soc. 51, 309–320 (1995) es_ES
dc.description.references Lusky, W.: On the isomorphism classes of weighted spaces of harmonic and holomorphic functions. Studia Math. 175, 19–45 (2006) es_ES
dc.description.references Pommerenke, Ch.: Boundary Behaviour of Conformal Maps. Springer, Berlin (1992) es_ES
dc.description.references Ramos Fernández, J.C.: Bounded superposition operators between weighted Banach spaces of analytic functions. Preprint, Available from http://arxiv.org/abs/1203.5857 es_ES
dc.description.references Shields, A.L., Williams, D.L.: Bounded projections, duality and multipliers in spaces of analytic functions. Trans. Am. Math. Soc. 162, 287–302 (1971) es_ES
dc.description.references Vukotić, D.: Integrability, growth of conformal maps, and superposition operators, Technical Report 10. Aristotle University of Thessaloniki, Department of Mathematics (2004) es_ES
dc.description.references Xiong, C.: Superposition operators between $$Q_p$$ spaces and Bloch-type spaces. Complex Var. Theory Appl. 50, 935–938 (2005) es_ES
dc.description.references Xu, W.: Superposition operators on Bloch-type spaces. Comput. Methods Funct. Theory 7, 501–507 (2007) es_ES
dc.description.references Zhu, K.: Operator Theory in Function Spaces, 2nd edn. Am. Math. Soc., Providence (2007) es_ES


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

Mostrar el registro sencillo del ítem