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Isomorphisms on weighed Banach spaces of harmonic and holomorphic functions

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Isomorphisms on weighed Banach spaces of harmonic and holomorphic functions

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dc.contributor.author Jorda Mora, Enrique es_ES
dc.contributor.author Zarco García, Ana María es_ES
dc.date.accessioned 2015-03-27T15:49:54Z
dc.date.available 2015-03-27T15:49:54Z
dc.date.issued 2013
dc.identifier.issn 2090-8997
dc.identifier.uri http://hdl.handle.net/10251/48411
dc.description.abstract For an arbitrary open subset U subset of R-d or U subset of C-d and a continuous function v : U ->]0,infinity[ we show that the space h(v0) (U) of weighed harmonic functions is almost isometric to a (closed) subspace of c(0), thus extending a theorem due to Bonet and Wolf for spaces of holomorphic functions H-v0 (U) on open sets U subset of C-d. Inspired by recent work of Boyd and Rueda, we characterize in terms of the extremal points of the dual of h(v0) (U) when h(v0) (U) is isometric to a subspace of c(0). Some geometric conditions on an open set U subset of C-d and convexity conditions on a weight v on U are given to ensure that neither H-v0 (U) nor h(v0) (U) are rotund. es_ES
dc.description.sponsorship The authors are grateful to J. Bonet for a lot of ideas and discussions during all this work. They are also indebted to P. Rueda, who besides giving them some references provided them some unpublished work which has inspired a big part of this paper. They also thank M. Maestre for his careful reading of the paper and helpful discussions. Finally, they thank the referees for the careful analysis of the paper and the important suggestions which they gave us. The research of the first author was supported by MICINN and FEDER, Project MTM2010-15200. The research of both authors is partially supported by Programa de Apoyo a la Investigacion 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 Journal of Function Spaces and Applications es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Composition operators es_ES
dc.subject Analytic-functions es_ES
dc.subject Bounded projections es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Isomorphisms on weighed Banach spaces of harmonic and holomorphic functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2013/178460
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/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.; Zarco García, AM. (2013). Isomorphisms on weighed Banach spaces of harmonic and holomorphic functions. Journal of Function Spaces and Applications. 2013:1-6. https://doi.org/10.1155/2013/178460 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1155/2012/357210 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 6 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2013 es_ES
dc.relation.senia 251771
dc.identifier.eissn 0972-6802
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
dc.description.references Bierstedt, K. D., Bonet, J., & Galbis, A. (1993). Weighted spaces of holomorphic functions on balanced domains. The Michigan Mathematical Journal, 40(2), 271-297. doi:10.1307/mmj/1029004753 es_ES
dc.description.references Bonet, J., Dománski, P., & Lindström, M. (1999). Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions. Canadian Mathematical Bulletin, 42(2), 139-148. doi:10.4153/cmb-1999-016-x es_ES
dc.description.references Bonet, J., Domański, P., Lindström, M., & Taskinen, J. (1998). Composition operators between weighted Banach spaces of analytic functions. Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 64(1), 101-118. doi:10.1017/s1446788700001336 es_ES
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dc.description.references Boyd, C., & Rueda, P. (2006). Complete weights andv-peak points of spaces of weighted holomorphic functions. Israel Journal of Mathematics, 155(1), 57-80. doi:10.1007/bf02773948 es_ES
dc.description.references Boyd, C., & Rueda, P. (2008). Isometries of Weighted Spaces of Harmonic Functions. Potential Analysis, 29(1), 37-48. doi:10.1007/s11118-008-9086-4 es_ES
dc.description.references Bonet, J., & Wolf, E. (2003). A note on weighted Banach spaces of holomorphic functions. Archiv der Mathematik, 81(6), 650-654. doi:10.1007/s00013-003-0568-8 es_ES
dc.description.references Fabian, M., Habala, P., Hájek, P., Montesinos, V., & Zizler, V. (2011). Banach Space Theory. CMS Books in Mathematics. doi:10.1007/978-1-4419-7515-7 es_ES
dc.description.references Property (M), M-ideals, and almost isometric structure of Banach spaces. (1995). Journal für die reine und angewandte Mathematik (Crelles Journal), 1995(461), 137-178. doi:10.1515/crll.1995.461.137 es_ES
dc.description.references Lusky, W. (1992). On the Structure of Hv0(D) andhv0(D). Mathematische Nachrichten, 159(1), 279-289. doi:10.1002/mana.19921590119 es_ES


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