Commutators for fourier multipliers on Besov spaces

If T is any bounded linear operator on Besov spaces Bpσj,qj(Rn)(j=0,1, and 0<σ1<σ<σ0), it is proved that the commutator [T,Tμ]=TTμ -TμT is bounded on Bpσ,q (Rn), if Tμ is a Fourier multiplier such that μ is any (possibly unbounded) symbol with uniformly bounded variation on dyadic coronas....

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Autores: Cerdà Martín, Joan Lluís, Martín i Pedret, Joaquim|||0000-0002-7467-787X
Tipo de recurso: artículo
Fecha de publicación:2004
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:271870
Acceso en línea:https://ddd.uab.cat/record/271870
https://dx.doi.org/urn:doi:10.1016/j.jat.2004.03.007
Access Level:acceso abierto
Palabra clave:Approximation spaces
Besov space
Commutator
Interpolation theory
K-functional
Multipliers
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spelling Commutators for fourier multipliers on Besov spacesCerdà Martín, Joan LluísMartín i Pedret, Joaquim|||0000-0002-7467-787XApproximation spacesBesov spaceCommutatorInterpolation theoryK-functionalMultipliersIf T is any bounded linear operator on Besov spaces Bpσj,qj(Rn)(j=0,1, and 0<σ1<σ<σ0), it is proved that the commutator [T,Tμ]=TTμ -TμT is bounded on Bpσ,q (Rn), if Tμ is a Fourier multiplier such that μ is any (possibly unbounded) symbol with uniformly bounded variation on dyadic coronas. 22004-01-0120042004-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/271870https://dx.doi.org/urn:doi:10.1016/j.jat.2004.03.007reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia y Tecnología https://doi.org/10.13039/501100006280 BFM2001-3395Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2001/SGR-00069open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2718702026-06-06T12:50:31Z
dc.title.none.fl_str_mv Commutators for fourier multipliers on Besov spaces
title Commutators for fourier multipliers on Besov spaces
spellingShingle Commutators for fourier multipliers on Besov spaces
Cerdà Martín, Joan Lluís
Approximation spaces
Besov space
Commutator
Interpolation theory
K-functional
Multipliers
title_short Commutators for fourier multipliers on Besov spaces
title_full Commutators for fourier multipliers on Besov spaces
title_fullStr Commutators for fourier multipliers on Besov spaces
title_full_unstemmed Commutators for fourier multipliers on Besov spaces
title_sort Commutators for fourier multipliers on Besov spaces
dc.creator.none.fl_str_mv Cerdà Martín, Joan Lluís
Martín i Pedret, Joaquim|||0000-0002-7467-787X
author Cerdà Martín, Joan Lluís
author_facet Cerdà Martín, Joan Lluís
Martín i Pedret, Joaquim|||0000-0002-7467-787X
author_role author
author2 Martín i Pedret, Joaquim|||0000-0002-7467-787X
author2_role author
dc.subject.none.fl_str_mv Approximation spaces
Besov space
Commutator
Interpolation theory
K-functional
Multipliers
topic Approximation spaces
Besov space
Commutator
Interpolation theory
K-functional
Multipliers
description If T is any bounded linear operator on Besov spaces Bpσj,qj(Rn)(j=0,1, and 0<σ1<σ<σ0), it is proved that the commutator [T,Tμ]=TTμ -TμT is bounded on Bpσ,q (Rn), if Tμ is a Fourier multiplier such that μ is any (possibly unbounded) symbol with uniformly bounded variation on dyadic coronas.
publishDate 2004
dc.date.none.fl_str_mv 2
2004-01-01
2004
2004-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/271870
https://dx.doi.org/urn:doi:10.1016/j.jat.2004.03.007
url https://ddd.uab.cat/record/271870
https://dx.doi.org/urn:doi:10.1016/j.jat.2004.03.007
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia y Tecnología https://doi.org/10.13039/501100006280 BFM2001-3395
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2001/SGR-00069
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
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
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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