Duality for logarithmic interpolation spaces when 0 < q < 1 and applications

We work with spaces (A0;A1)θ;q;A which are logarithmic perturbations of the real interpolation spaces. We determine the dual of (A0;A1)θ;q;A when0 < q < 1. As we show, if θ = 0 or 1 then the dual space depends on the relationship between q and A. Furthermore we apply the abstract results to co...

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Detalles Bibliográficos
Autores: Cobos Díaz, Fernando, Fernández Besoy, Blanca
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/12191
Acceso en línea:https://hdl.handle.net/20.500.14352/12191
Access Level:acceso abierto
Palabra clave:517.538.5
517.518.8
Teoría de la aproximación
Approximation spaces
Besov spaces Compact embeddings
Entropy numbers
Approximation numbers
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
1202 Análisis y Análisis Funcional
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oai_identifier_str oai:docta.ucm.es:20.500.14352/12191
network_acronym_str ES
network_name_str España
repository_id_str
spelling Duality for logarithmic interpolation spaces when 0 < q < 1 and applicationsCobos Díaz, FernandoFernández Besoy, Blanca517.538.5517.518.8Teoría de la aproximaciónApproximation spacesBesov spaces Compact embeddingsEntropy numbersApproximation numbersMatemáticas (Matemáticas)Análisis matemático12 Matemáticas1202 Análisis y Análisis FuncionalWe work with spaces (A0;A1)θ;q;A which are logarithmic perturbations of the real interpolation spaces. We determine the dual of (A0;A1)θ;q;A when0 < q < 1. As we show, if θ = 0 or 1 then the dual space depends on the relationship between q and A. Furthermore we apply the abstract results to compute the dual space of Besov spaces of logarithmic smoothness and the dual space of spaces of compact operators in a Hilbert space which are closeto the Macaev ideals.ElsevierUniversidad Complutense de Madrid20182018-06-0120182018-06-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/12191reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/121912026-06-02T12:44:21Z
dc.title.none.fl_str_mv Duality for logarithmic interpolation spaces when 0 < q < 1 and applications
title Duality for logarithmic interpolation spaces when 0 < q < 1 and applications
spellingShingle Duality for logarithmic interpolation spaces when 0 < q < 1 and applications
Cobos Díaz, Fernando
517.538.5
517.518.8
Teoría de la aproximación
Approximation spaces
Besov spaces Compact embeddings
Entropy numbers
Approximation numbers
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
1202 Análisis y Análisis Funcional
title_short Duality for logarithmic interpolation spaces when 0 < q < 1 and applications
title_full Duality for logarithmic interpolation spaces when 0 < q < 1 and applications
title_fullStr Duality for logarithmic interpolation spaces when 0 < q < 1 and applications
title_full_unstemmed Duality for logarithmic interpolation spaces when 0 < q < 1 and applications
title_sort Duality for logarithmic interpolation spaces when 0 < q < 1 and applications
dc.creator.none.fl_str_mv Cobos Díaz, Fernando
Fernández Besoy, Blanca
author Cobos Díaz, Fernando
author_facet Cobos Díaz, Fernando
Fernández Besoy, Blanca
author_role author
author2 Fernández Besoy, Blanca
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.538.5
517.518.8
Teoría de la aproximación
Approximation spaces
Besov spaces Compact embeddings
Entropy numbers
Approximation numbers
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
1202 Análisis y Análisis Funcional
topic 517.538.5
517.518.8
Teoría de la aproximación
Approximation spaces
Besov spaces Compact embeddings
Entropy numbers
Approximation numbers
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
1202 Análisis y Análisis Funcional
description We work with spaces (A0;A1)θ;q;A which are logarithmic perturbations of the real interpolation spaces. We determine the dual of (A0;A1)θ;q;A when0 < q < 1. As we show, if θ = 0 or 1 then the dual space depends on the relationship between q and A. Furthermore we apply the abstract results to compute the dual space of Besov spaces of logarithmic smoothness and the dual space of spaces of compact operators in a Hilbert space which are closeto the Macaev ideals.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-06-01
2018
2018-06-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/12191
url https://hdl.handle.net/20.500.14352/12191
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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