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Orbits of non-elliptic disc automorphisms on H-p

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dc.contributor.authorGallardo Gutiérrez, Eva Antonia
dc.contributor.authorGorkin, Pamela
dc.contributor.authorSuárez, Daniel
dc.date.accessioned2023-06-20T03:32:09Z
dc.date.available2023-06-20T03:32:09Z
dc.date.issued2012
dc.description.abstractMotivated by the Invariant Subspace Problem, we describe explicitly the closed subspace H-2 generated by the limit points in the H-2 norm of the orbit of a thin Blaschke product B under composition operators C-phi, induced by non-elliptic automorphisms. This description exhibits a surprising connection to model spaces. Finally, we give a constructive characterization of the C-phi-eigenfunctions in H-p for 1 <= p <= infinity. (C) 2011 Elsevier Inc. All rights reserved.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipGobierno de Aragón research group Análisis Matemático y Aplicaciones
dc.description.sponsorshipRamón y Cajal program
dc.description.sponsorship Instituto Universitario de Matemáticas y Aplicaciones
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/20995
dc.identifier.citationGallardo Gutiérrez, E. A., et al. «Orbits of Non-Elliptic Disc Automorphisms on H p». Journal of Mathematical Analysis and Applications, vol. 388, n.o 2, abril de 2012, pp. 1013-26. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2011.10.048.
dc.identifier.doi10.1016/j.jmaa.2011.10.048
dc.identifier.issn0022-247X
dc.identifier.officialurlhttps//doi.org/10.1016/j.jmaa.2011.10.048
dc.identifier.relatedurlhttp://www.sciencedirect.com/science/article/pii/S0022247X11009905
dc.identifier.urihttps://hdl.handle.net/20.500.14352/43772
dc.issue.number2
dc.journal.titleJournal of Mathematical Analysis and Applications
dc.language.isoeng
dc.page.final1026
dc.page.initial1013
dc.publisherElsevier
dc.relation.projectIDMTM2010-16679
dc.relation.projectIDDGA E-64
dc.relation.projectID2009SGR00420
dc.relation.projectIDMTM2008-00145
dc.relation.projectIDBID-PICT2009-0082
dc.rights.accessRightsrestricted access
dc.subject.cdu517
dc.subject.keywordBlaschke products
dc.subject.keywordInvariant subspaces
dc.subject.keywordEigenfunctions of composition operators
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleOrbits of non-elliptic disc automorphisms on H-pen
dc.typejournal article
dc.volume.number388
dspace.entity.typePublication
relation.isAuthorOfPublicationf56f1f11-4b62-4a87-80df-8dc195da1201
relation.isAuthorOfPublication.latestForDiscoveryf56f1f11-4b62-4a87-80df-8dc195da1201

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