Restricted non-linear approximation in sequence spaces and applications to wavelet bases and interpolation

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dc.contributor.author Hernández, Eugenio
dc.contributor.author Vera, Daniel
dc.contributor.other UAM. Departamento de Matemáticas es_ES
dc.date.accessioned 2016-01-26T15:33:38Z
dc.date.available 2016-01-26T15:33:38Z
dc.date.issued 2013-01-01
dc.identifier.citation Monatshefte für Mathematik 169.2 (2013): 187-217 en_US
dc.identifier.issn 0026-9255 (print) es_ES
dc.identifier.issn 1436-5081 (online) es_ES
dc.identifier.uri http://hdl.handle.net/10486/669443
dc.description The final publication is available at Springer via http://dx.doi.org/10.1007/s00605-012-0425-6 en_US
dc.description.abstract Restricted non-linear approximation is a type of N-term approximation where a measure ν on the index set (rather than the counting measure) is used to control the number of terms in the approximation. We show that embeddings for restricted non-linear approximation spaces in terms of weighted Lorentz sequence spaces are equivalent to Jackson and Bernstein type inequalities, and also to the upper and lower Temlyakov property. As applications we obtain results for wavelet bases in Triebel–Lizorkin spaces by showing the Temlyakov property in this setting. Moreover, new interpolation results for Triebel–Lizorkin and Besov spaces are obtained en_US
dc.description.sponsorship Research supported by GrantS MTM2007-60952 and MTM2010-16518 of Spain en_US
dc.format.extent 24 pag. es_ES
dc.format.mimetype application/pdf en
dc.language.iso eng en
dc.publisher Springer Verlag en_US
dc.relation.ispartof Monatshefte fur Mathematik en_US
dc.rights © Springer-Verlag 2012 en_US
dc.subject.other Besov spaces en_US
dc.subject.other Democracy functions en_US
dc.subject.other Interpolation spaces en_US
dc.subject.other Lorentz spaces en_US
dc.subject.other Non-linear approximation en_US
dc.subject.other Triebel-Lizorkin spaces en_US
dc.title Restricted non-linear approximation in sequence spaces and applications to wavelet bases and interpolation en_US
dc.type article en
dc.subject.eciencia Matemáticas es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s00605-012-0425-6 es_ES
dc.identifier.doi 10.1007/s00605-012-0425-6 es_ES
dc.identifier.publicationfirstpage 187 es_ES
dc.identifier.publicationissue 2 es_ES
dc.identifier.publicationlastpage 217 es_ES
dc.identifier.publicationvolume 169 es_ES
dc.relation.projectID Gobierno de España. MTM2007-60952 es_ES
dc.relation.projectID Gobierno de España. MTM2010-16518 es_ES
dc.type.version info:eu-repo/semantics/acceptedVersion en
dc.rights.accessRights openAccess en
dc.authorUAM Hernández Rodríguez, Eugenio (260252)


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