- -

Invariant subspaces of the integration operators on Hörmander algebras and Korenblum type spaces

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Invariant subspaces of the integration operators on Hörmander algebras and Korenblum type spaces

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: Bonet;Galbs - ...
Tamaño: 233.8Kb
Formato: PDF
Descripción: Versión del Autor.
Abrir
[Cerrado]
Nombre: Bonet-Galbis2020_ ...
Tamaño: 275.9Kb
Formato: PDF
Descripción: Versión editorial
Solicitar una copia al autor
dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Galbis, Antonio es_ES
dc.date.accessioned 2021-07-10T03:30:55Z
dc.date.available 2021-07-10T03:30:55Z
dc.date.issued 2020-07-27 es_ES
dc.identifier.issn 0378-620X es_ES
dc.identifier.uri http://hdl.handle.net/10251/169063
dc.description.abstract [EN] We describe the proper closed invariant subspaces of the integration operator when it acts continuously on countable intersections and countable unions of weighted Banach spaces of holomorphic functions on the unit disc or the complex plane. Applications are given to the case of Korenblum type spaces and Hormander algebras of entire functions. es_ES
dc.description.sponsorship This research was partially supported by the Projects MTM2016-76647-P and GV Prometeo/2017/102. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Integral Equations and Operator Theory es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Integration operator es_ES
dc.subject Invariant subspaces es_ES
dc.subject Weighted spaces of holomorphic functions es_ES
dc.subject Frechet spaces es_ES
dc.subject (LB)-spaces es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Invariant subspaces of the integration operators on Hörmander algebras and Korenblum type spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00020-020-02593-6 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/ 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.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Bonet Solves, JA.; Galbis, A. (2020). Invariant subspaces of the integration operators on Hörmander algebras and Korenblum type spaces. Integral Equations and Operator Theory. 92(4):1-13. https://doi.org/10.1007/s00020-020-02593-6 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00020-020-02593-6 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 13 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 92 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\427770 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.description.references Abanin, A.V.: Effective and sampling sets for Hörmander spaces. Complex Anal. Oper. Theory 12(6), 1401–1419 (2018) es_ES
dc.description.references Abanin, A.V., Tien, P.T.: Differentiation and integration operators on weighted Banach spaces of holomorphic functions. Math. Nachr. 290(8–9), 1144–1162 (2017) es_ES
dc.description.references Abanin, A.V., Tien, P.T.: Invariant subspaces for classical operators on weighted spaces of holomorphic functions. Integr. Equ. Oper. Theory 89(3), 409–438 (2017) es_ES
dc.description.references Abanin, A.V., Tien, P.T.: Compactness of classical operators on weighted Banach spaces of holomorphic functions. Collect. Math. 69(1), 1–15 (2018) es_ES
dc.description.references Albanese, A.A., Bonet, J., Ricker, W.J.: The Cesàro operator on Korenblum type spaces of analytic functions. Collect. Math. 69, 263–281 (2018) es_ES
dc.description.references Aleman, A., Korenblum, B.: Volterra invariant subspaces of $$H^p$$. Bull. Sci. Math. 132, 510–528 (2008) es_ES
dc.description.references Beltrán, M.J., Bonet, J., Fernández, C.: Classical operators on weighted Banach spaces of entire functions. Proc. Am. Math. Soc. 141(12), 4293–4303 (2013) es_ES
dc.description.references Beltrán, M.J., Bonet, J., Fernández, C.: Classical operators on the Hörmander algebras. Discrete Contin. Dyn. Syst. 35(2), 637–652 (2015) es_ES
dc.description.references Berenstein, C.A., Gay, R.: Complex Analysis and Special Topics in Harmonic Analysis. Springer, New York (1995) es_ES
dc.description.references Berenstein, C.A., Li, B.Q., Vidras, A.: Geometric characterization of interpolating varieties for the (FN)-space $$A^0_p$$ of entire functions. Can. J. Math. 47, 28–43 (1995) es_ES
dc.description.references Bierstedt, K.D., Bonet, J.: Some aspects of the modern theory of Fréchet spaces. RACSAM Rev. R. Acad. Cien. Serie A Mat. 97, 159–188 (2003) es_ES
dc.description.references Bierstedt, K.D., Bonet, J.: Weighted (LB)-spaces of holomorphic functions: $$VH(G)=V_0H(G)$$ and completeness of $$V_0H(G)$$. J. Math. Anal. Appl. 323, 747–767 (2006) es_ES
dc.description.references Bierstedt, K.D., Bonet, J., Galbis, A.: Weighted spaces of holomorphic functions on bounded domains. Mich. Math. J. 40, 271–297 (1993) es_ES
dc.description.references Bierstedt, K.D., Meise, R., Summers, W.H.: A projective description of weighted inductive limits. Trans. Am. Math. Soc. 272(1), 107–160 (1982) es_ES
dc.description.references Bonet, J., Fernández, C.: The range of the restriction map for a multiplicity variety in Hörmander algebras of entire functions. Mediterr. J. Math. 11(2), 643–652 (2014) es_ES
dc.description.references Bonet, J., Lusky, W., Taskinen, J.: Monomial basis in Korenblum type spaces of analytic functions. Proc. Am. Math. Soc. 146(12), 5269–5278 (2018) es_ES
dc.description.references Constantin, O.: A Volterra-type integration operator on Fock spaces. Proc. Am. Math. Soc. 140, 4247–4257 (2012) es_ES
dc.description.references Constantin, O., Peláez, J.A.: Integral operators, embedding theorems and a Littlewood–Paley formula on weighted Fock spaces. J. Geom. Anal. 26, 1109–1154 (2016) es_ES
dc.description.references Douglas, R.G., Shapiro, H.S., Shields, A.L.: Cyclic vectors and invariant subspaces for the backward shift operator. Ann. Inst. Fourier 20, 37–76 (1970) 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(3), 233–247 (2008) es_ES
dc.description.references Hedenmalm, H., Korenblum, B., Zhu, K.: Theory of Bergman Spaces. Graduate Texts in Mathematics, vol. 199. Springer, New York (2000) es_ES
dc.description.references Jarchow, H.: Locally Convex Spaces. Teubner, Stuttgart (1981) es_ES
dc.description.references Korenblum, B.: An extension of the Nevanlinna theory. Acta Math. 135, 187–219 (1975) 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 Meise, R.: Sequence space representations for $$({\rm DFN})$$-algebras of entire functions modulo closed ideals. J. Reine Angew. Math. 363, 59–95 (1985) es_ES
dc.description.references Meise, R., Taylor, B.A.: Sequence space representations for (FN)-algebras of entire functions modulo closed ideals. Studia Math. 85, 203–227 (1987) es_ES
dc.description.references Meise, R., Vogt, D.: Introduction to Functional Analysis. Clarendon Press, Oxford University Press, New York (1997) es_ES
dc.description.references Trèves, F.: Locally Convex Spaces and Linear Partial Differential Equations. Die Grundlehren der mathematischen Wissenschaften 146. Springer, New York (1967) es_ES
dc.description.references Vogt, D.: Non-natural topologies on spaces of holomorphic functions. Ann. Polon. Math. 108(3), 215–217 (2013) es_ES
dc.description.references Wolf, E.: Weighted Fréchet spaces of holomorphic functions. Studia Math. 174(3), 255–275 (2006) es_ES
dc.description.references Zhu, K.: Operator Theory on Function Spaces. Mathematical Surveys and Monographs, vol. 138. American Mathematical Society, Providence (2007) es_ES
dc.description.references Zhu, K.: Analysis on Fock Spaces. Graduate Texts in Mathematics, vol. 263. Springer, New York (2012) es_ES


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

Mostrar el registro sencillo del ítem