Compact embeddings of Brezis-Wainger type

Let Ω be a bounded domain in Rn and denote by idΩ the restriction operator from the Besov space B1+n/p pq (Rn) into the generalized Lipschitz space Lip(1,−α)(Ω). We study the sequence of entropy numbers of this operator and prove that, up to logarithmic factors, it behaves asymptotically like ek(idΩ...

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Detalles Bibliográficos
Autores: Cobos Díaz, Fernando, Kühn, Thomas, Schonbek, Tomas
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/49883
Acceso en línea:https://hdl.handle.net/20.500.14352/49883
Access Level:acceso abierto
Palabra clave:517.98
Entropy Numbers
Banach-Spaces
Operators
Compact embeddings
Besov spaces
Lipschitz spaces
Mathematics
Análisis matemático
1202 Análisis y Análisis Funcional
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spelling Compact embeddings of Brezis-Wainger typeCobos Díaz, FernandoKühn, ThomasSchonbek, Tomas517.98Entropy NumbersBanach-SpacesOperatorsCompact embeddingsBesov spacesLipschitz spacesMathematicsAnálisis matemático1202 Análisis y Análisis FuncionalLet Ω be a bounded domain in Rn and denote by idΩ the restriction operator from the Besov space B1+n/p pq (Rn) into the generalized Lipschitz space Lip(1,−α)(Ω). We study the sequence of entropy numbers of this operator and prove that, up to logarithmic factors, it behaves asymptotically like ek(idΩ) ∼ k−1/p if α > max (1 + 2/p −1/q, 1/p). Our estimates improve previous results by Edmunds and Haroske.Universidad Autónoma MadridUniversidad Complutense de Madrid20062006-01-0120062006-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/49883reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/498832026-06-02T12:44:21Z
dc.title.none.fl_str_mv Compact embeddings of Brezis-Wainger type
title Compact embeddings of Brezis-Wainger type
spellingShingle Compact embeddings of Brezis-Wainger type
Cobos Díaz, Fernando
517.98
Entropy Numbers
Banach-Spaces
Operators
Compact embeddings
Besov spaces
Lipschitz spaces
Mathematics
Análisis matemático
1202 Análisis y Análisis Funcional
title_short Compact embeddings of Brezis-Wainger type
title_full Compact embeddings of Brezis-Wainger type
title_fullStr Compact embeddings of Brezis-Wainger type
title_full_unstemmed Compact embeddings of Brezis-Wainger type
title_sort Compact embeddings of Brezis-Wainger type
dc.creator.none.fl_str_mv Cobos Díaz, Fernando
Kühn, Thomas
Schonbek, Tomas
author Cobos Díaz, Fernando
author_facet Cobos Díaz, Fernando
Kühn, Thomas
Schonbek, Tomas
author_role author
author2 Kühn, Thomas
Schonbek, Tomas
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.98
Entropy Numbers
Banach-Spaces
Operators
Compact embeddings
Besov spaces
Lipschitz spaces
Mathematics
Análisis matemático
1202 Análisis y Análisis Funcional
topic 517.98
Entropy Numbers
Banach-Spaces
Operators
Compact embeddings
Besov spaces
Lipschitz spaces
Mathematics
Análisis matemático
1202 Análisis y Análisis Funcional
description Let Ω be a bounded domain in Rn and denote by idΩ the restriction operator from the Besov space B1+n/p pq (Rn) into the generalized Lipschitz space Lip(1,−α)(Ω). We study the sequence of entropy numbers of this operator and prove that, up to logarithmic factors, it behaves asymptotically like ek(idΩ) ∼ k−1/p if α > max (1 + 2/p −1/q, 1/p). Our estimates improve previous results by Edmunds and Haroske.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01
2006
2006-01-01
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/20.500.14352/49883
url https://hdl.handle.net/20.500.14352/49883
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 Universidad Autónoma Madrid
publisher.none.fl_str_mv Universidad Autónoma Madrid
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 15,301603

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