Hilbert-Schmidt composition operators on Dirichlet spaces

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dc.book.titleTrends in Banach spaces and operator theory
dc.contributor.authorGallardo Gutiérrez, Eva Antonia
dc.contributor.authorGonzález, María J.
dc.contributor.editorKaminska, Anna
dc.date.accessioned2023-06-20T21:05:41Z
dc.date.available2023-06-20T21:05:41Z
dc.date.issued2001
dc.description.abstractIn this note we show that analytic self-maps phi of the unit disk inducing Hilbert-Schmidt composition operators C-phi on the weighted Dirichlet space D-alpha satisfy that the set E-phi = {e(itheta) is an element of partial derivativeD : |phi(e(itheta))| = 1} has zero alpha-capacity.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21118
dc.identifier.citationGallardo Gutiérrez, E. A. & González, M. J., Kamińska, A. (ed.). Trends in Banach Spaces and Operator Theory. American Mathematical Society, 2003. DOI.org (Crossref), https://doi.org/10.1090/conm/321.
dc.identifier.doi10.1090/conm/321
dc.identifier.isbn978-0-8218-3234-9
dc.identifier.officialurlhttps//doi.org/10.1090/conm/321
dc.identifier.relatedurlhttp://www.ams.org/books/conm/321/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/60676
dc.issue.number321
dc.language.isoeng
dc.page.final90
dc.page.initial87
dc.publisherAMS
dc.relation.ispartofseriesContemporary mathematics
dc.rights.accessRightsopen access
dc.subject.cdu517
dc.subject.keywordComposition operator
dc.subject.keywordDirichlet space
dc.subject.keywordWeighted Dirichlet space
dc.subject.keywordLogarithmic capacity
dc.subject.keywordAlpha-capacity
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleHilbert-Schmidt composition operators on Dirichlet spacesen
dc.typebook part
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscoveryf56f1f11-4b62-4a87-80df-8dc195da1201

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