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Weighted vector-valued holomorphic functions on Banach spaces

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Weighted vector-valued holomorphic functions on Banach spaces

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dc.contributor.author Jorda Mora, Enrique es_ES
dc.date.accessioned 2015-06-03T11:57:58Z
dc.date.available 2015-06-03T11:57:58Z
dc.date.issued 2013
dc.identifier.issn 1085-3375
dc.identifier.uri http://hdl.handle.net/10251/51214
dc.description.abstract We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of an open and connected subset U of a Banach space X, with values in another Banach space X, and admitting certain weak extensions in a Banach space of holomorphic functions can be holomorphically extended in the corresponding Banach space of vector-valued functions. es_ES
dc.description.sponsorship The author wants to thank J. Bonet for several references, discussions, and ideas provided, which were very helpful and in particular allowed him to prove Theorem 7, Proposition 8, and Examples 15 and 16. Remark 4 is due to him. The participation of M. J. Beltran in a lot of discussions during all the work has also been very important. Her ideas are also reflected in the paper. The author is also indebted to L. Frerick and J. Wengenroth for communicating to him Lemma 2. The remarks and corrections of the referee have been also really helpful to the final version. The author thanks him/her for that. This research was partially supported by MEC and FEDER Project MTM2010-15200, GV Project ACOMP/2012/090, and Programa de Apoyo a la Investigacin y Desarrollo de la UPV PAID-06-12. en_EN
dc.language Inglés es_ES
dc.publisher Hindawi Publishing Corporation es_ES
dc.relation.ispartof Abstract and Applied Analysis es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Injective tensor product es_ES
dc.subject Composition operators es_ES
dc.subject Infinite dimensions es_ES
dc.subject Analytic function es_ES
dc.subject Harmonic funcions es_ES
dc.subject Linearization es_ES
dc.subject Extension es_ES
dc.subject Mappings es_ES
dc.subject Continuation es_ES
dc.subject Boundaries es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Weighted vector-valued holomorphic functions on Banach spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2013/501592
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//ACOMP%2F2012%2F090/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//PAID-06-12/ 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 Jorda Mora, E. (2013). Weighted vector-valued holomorphic functions on Banach spaces. Abstract and Applied Analysis. 2013:1-9. https://doi.org/10.1155/2013/501592 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1155/2013/501592 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 9 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2013 es_ES
dc.relation.senia 251764
dc.identifier.eissn 1687-0409
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
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