- -

The Cesàro operator on Korenblum type spaces of analytic functions

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

The Cesàro operator on Korenblum type spaces of analytic functions

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: Albanese_Bonet_Ri ...
Tamaño: 368.5Kb
Formato: PDF
Descripción: Versión del Autor.
Abrir
[Cerrado]
Nombre: ABR_CollectMath_s ...
Tamaño: 383.2Kb
Formato: PDF
Descripción: Versión editorial
Solicitar una copia al autor
dc.contributor.author Albanese, Angela es_ES
dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Ricker, Werner J. es_ES
dc.date.accessioned 2018-09-17T08:50:45Z
dc.date.available 2018-09-17T08:50:45Z
dc.date.issued 2018 es_ES
dc.identifier.issn 0010-0757 es_ES
dc.identifier.uri http://hdl.handle.net/10251/107452
dc.description.abstract [EN] The spectrum of the CesA ro operator , which is always continuous (but never compact) when acting on the classical Korenblum space and other related weighted Fr,chet or (LB) spaces of analytic functions on the open unit disc, is completely determined. It turns out that such spaces are always Schwartz but, with the exception of the Korenblum space, never nuclear. Some consequences concerning the mean ergodicity of are deduced. es_ES
dc.description.sponsorship The research of the first two authors was partially supported by the projects MTM2013-43540-P and MTM2016-76647-P. The second author gratefully acknowledges the support of the Alexander von Humboldt Foundation.
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Collectanea mathematica es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Cesaro operator es_ES
dc.subject Weighted spaces of analytic functions es_ES
dc.subject Spectrum es_ES
dc.subject Frechet spaces es_ES
dc.subject (LB)-spaces es_ES
dc.subject Mean ergodicity es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title The Cesàro operator on Korenblum type spaces of analytic functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13348-017-0205-7 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/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.date.embargoEndDate 2019-05-01 es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Albanese, A.; Bonet Solves, JA.; Ricker, WJ. (2018). The Cesàro operator on Korenblum type spaces of analytic functions. Collectanea mathematica. 69(2):263-281. https://doi.org/10.1007/s13348-017-0205-7 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s13348-017-0205-7 es_ES
dc.description.upvformatpinicio 263 es_ES
dc.description.upvformatpfin 281 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 69 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\358071 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.description.references Albanese, A.A., Bonet, J., Ricker, W.J.: Mean ergodic operators in Fréchet spaces. Ann. Acad. Sci. Fenn. Math. 34, 401–436 (2009) es_ES
dc.description.references Albanese, A.A., Bonet, J., Ricker, W.J.: Montel resolvents and uniformly mean ergodic semigroups of linear operators. Quaest. Math. 36, 253–290 (2013) es_ES
dc.description.references Albanese, A.A., Bonet, J., Ricker, W.J.: The Cesàro operator in growth Banach spaces of analytic functions. Integral Equ. Oper. Theory 86, 97–112 (2016) es_ES
dc.description.references Albanese, A.A., Bonet, J., Ricker, W.J.: The Cesàro operator in the Fréchet spaces $$\ell ^{p+}$$ ℓ p + and $$L^{p-}$$ L p - . Glasgow Math. J. 59, 273–287 (2017) es_ES
dc.description.references Albanese, A.A., Bonet, J., Ricker, W.J.: The Cesàro operator on power series spaces. Stud. Math. doi: 10.4064/sm8590-2-2017 es_ES
dc.description.references Aleman, A.: A class of integral operators on spaces of analytic functions, In: Proceedings of the Winter School in Operator Theory and Complex Analysis, Univ. Málaga Secr. Publ., Málaga, pp. 3–30 (2007) es_ES
dc.description.references Aleman, A., Constantin, O.: Spectra of integration operators on weighted Bergman spaces. J. Anal. Math. 109, 199–231 (2009) es_ES
dc.description.references Aleman, A., Peláez, J.A.: Spectra of integration operators and weighted square functions. Indiana Univ. Math. J. 61, 1–19 (2012) es_ES
dc.description.references Aleman, A., Persson, A.-M.: Resolvent estimates and decomposable extensions of generalized Cesàro operators. J. Funct. Anal. 258, 67–98 (2010) es_ES
dc.description.references Aleman, A., Siskakis, A.G.: An integral operator on $$H^p$$ H p . Complex Var. Theory Appl. 28, 149–158 (1995) es_ES
dc.description.references Aleman, A., Siskakis, A.G.: Integration operators on Bergman spaces. Indiana Univ. Math. J. 46, 337–356 (1997) es_ES
dc.description.references Barrett, D.E.: Duality between $$A^\infty $$ A ∞ and $$A^{- \infty }$$ A - ∞ on domains with nondegenerate corners, Multivariable operator theory (Seattle, WA, 1993), pp. 77–87, Contemporary Math. Vol. 185, Amer. Math. Soc., Providence (1995) 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., Bonet, J., Taskinen, J.: Associated weights and spaces of holomorphic functions. Stud. Math. 127, 137–168 (1998) 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, 107–160 (1982) es_ES
dc.description.references Bierstedt, K.D., Summers, W.H.: Biduals of weighted Banach spaces of analytic functions. J. Aust. Math. Soc. (Ser. A) 54, 70–79 (1993) 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 Diestel, J., Jarchow, H., Tonge, A.: Absolutely Summing Operators. Cambridge University Press, Cambridge (1995) es_ES
dc.description.references Domenig, T.: Composition operators on weighted Bergman spaces and Hardy spaces. Atomic Decompositions and Diagonal Operators, Ph.D. Thesis, University of Zürich (1997). [Zbl 0909.47025] es_ES
dc.description.references Domenig, T.: Composition operators belonging to operator ideals. J. Math. Anal. Appl. 237, 327–349 (1999) es_ES
dc.description.references Dunford, N., Schwartz, J.T.: Linear Operators I: General Theory. 2nd Printing. Wiley Interscience Publ., New York (1964) es_ES
dc.description.references Edwards, R.E.: Functional Analysis. Theory and Applications. Holt, Rinehart and Winston, New York, Chicago San Francisco (1965) es_ES
dc.description.references Grothendieck, A.: Topological Vector Spaces. Gordon and Breach, London (1973) 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 Krengel, U.: Ergodic Theorems. de Gruyter Studies in Mathematics, vol. 6. Walter de Gruyter Co., Berlin (1985) es_ES
dc.description.references Lusky, W.: On the isomorphism classes of weighted spaces of harmonic and holomorphic functions. Stud. Math. 175(1), 19–40 (2006) es_ES
dc.description.references Meise, R., Vogt, D.: Introduction to Functional Analysis. Clarendon Press, Oxford (1997) es_ES
dc.description.references Melikhov, S.N.: (DFS )-spaces of holomorphic functions invariant under differentiation. J. Math. Anal. Appl. 297, 577–586 (2004) es_ES
dc.description.references Persson, A.-M.: On the spectrum of the Cesàro operator on spaces of analytic functions. J. Math. Anal Appl. 340, 1180–1203 (2008) es_ES
dc.description.references Pietsch, A.: Nuclear Locally Convex Spaces. Springer, Berlin (1972) 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 Siskakis, A.: Volterra operators on spaces of analytic functions—a survey. In: Proceedings of the First Advanced Course in Operator Theory and Complex Analysis, Univ. Sevilla Serc. Publ., Seville, pp. 51–68 (2006) es_ES


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

Mostrar el registro sencillo del ítem