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Locally univalent functions, VMOA and the Dirichlet space

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dc.contributor.authorGallardo Gutiérrez, Eva Antonia
dc.contributor.authorGonzález, María J.
dc.contributor.authorPérez González, Fernando
dc.contributor.authorPommerenke, Christian
dc.contributor.authorRattya, Jouni
dc.date.accessioned2023-06-19T13:21:46Z
dc.date.available2023-06-19T13:21:46Z
dc.date.issued2013-03
dc.description.abstractWe study geometric properties of the image of the unit circle under a bounded locally univalent function g such that log g' belongs either to the Dirichlet space D, VMOA or the little Bloch space B-0. Concerning VMOA and B-0, our findings generalize the corresponding results for conformal maps shown by Pommerenke in the late 1970s. In the case of D, we give a strictly geometric necessary condition for g to satisfy log g'is an element of D, and also offer two different 'semi-geometric' characterizations of when log g'is an element of D.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipPlan Nacional I+D
dc.description.sponsorshipGobierno de Aragon research group Analisis Matematico y Aplicaciones
dc.description.sponsorshipESF PESC Research Network HCAA
dc.description.sponsorshipEmil Aaltonen Foundation
dc.description.sponsorshipAcademy of Finland
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/22152
dc.identifier.citationGallardo Gutiérrez, E. A., González, M. J., Pérez González, F. et al. «Locally Univalent Functions, VMOA and the Dirichlet Space». Proceedings of the London Mathematical Society, vol. 106, n.o 3, marzo de 2013, pp. 565-88. DOI.org (Crossref), https://doi.org/10.1112/plms/pds040.
dc.identifier.doi10.1112/plms/pds040
dc.identifier.issn0024-6115
dc.identifier.officialurlhttps//doi.org/10.1112/plms/pds040
dc.identifier.relatedurlhttp://plms.oxfordjournals.org/content/106/3/565.full.pdf+html
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33318
dc.issue.numberPart 3
dc.journal.titleProceedings of the London Mathematical Society
dc.language.isoeng
dc.page.final588
dc.page.initial565
dc.publisherOxford University Press (OUP)
dc.relation.projectIDMTM2010-16679
dc.relation.projectIDMTM2011-24606
dc.relation.projectIDMTM2008-05891
dc.relation.projectIDMTM2011-26538
dc.relation.projectIDMTM2006-14449-C02-01
dc.relation.projectIDDGA E-64
dc.relation.projectID121281
dc.rights.accessRightsopen access
dc.subject.cdu517.5
dc.subject.keywordBounded mean oscillation
dc.subject.keywordSchlicht functions
dc.subject.keywordAnalytic-functions
dc.subject.ucmFunciones (Matemáticas)
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleLocally univalent functions, VMOA and the Dirichlet spaceen
dc.typejournal article
dc.volume.number106
dspace.entity.typePublication
relation.isAuthorOfPublicationf56f1f11-4b62-4a87-80df-8dc195da1201
relation.isAuthorOfPublication.latestForDiscoveryf56f1f11-4b62-4a87-80df-8dc195da1201

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