Greedy bases in variable Lebesgue spaces

We compute the right and left democracy functions of admissible wavelet bases in variable Lebesgue spaces de ned on Rn. As an application we give Lebesgue type inequalities for these wavelet bases. We also show that our techniques can be easily modi ed to prove analogous results for weighted variabl...

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Authors: Cruz-Uribe, David, Hernández, Eugenio, Martell, José María
Format: article
Status:Versión aceptada para publicación
Publication Date:2016
Country:España
Institution:Consejo Superior de Investigaciones Científicas (CSIC)
Repository:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/198100
Online Access:http://hdl.handle.net/10261/198100
Access Level:Open access
Keyword:Greedy algorithm
Non-linear approximation
Wavelets
Variable Lebesgue spaces
Lebesgue type estimates
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spelling Greedy bases in variable Lebesgue spacesCruz-Uribe, DavidHernández, EugenioMartell, José MaríaGreedy algorithmNon-linear approximationWaveletsVariable Lebesgue spacesLebesgue type estimatesWe compute the right and left democracy functions of admissible wavelet bases in variable Lebesgue spaces de ned on Rn. As an application we give Lebesgue type inequalities for these wavelet bases. We also show that our techniques can be easily modi ed to prove analogous results for weighted variable Lebesgue spaces and variable exponent Triebel-Lizorkin spaces.The first author is supported by the Stewart-Dorwart faculty development fund at Trinity College and NSF grant 1362425. The second and third authors are supported in part by MINECO Grant MTM2010-16518 (Spain). The third author has been also supported by ICMAT Severo Ochoa project SEV-2011-0087 (Spain) and he also acknowledges that the research leading to these results has received funding from the European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013)/ ERC agreement no. 615112 HAPDEGMTPeer reviewedSpringer NatureMinisterio de Economía y Competitividad (España)European CommissionNational Science Foundation (US)Martell, José María [0000-0001-6788-4769]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202020202016info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionhttp://hdl.handle.net/10261/198100reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/MICINN//MTM2010-16518info:eu-repo/grantAgreement/MICINN//SEV-2011-0087info:eu-repo/grantAgreement/EC/FP7/615112https://doi.org/10.1007/s00605-015-0862-0Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1981002026-05-22T06:33:51Z
dc.title.none.fl_str_mv Greedy bases in variable Lebesgue spaces
title Greedy bases in variable Lebesgue spaces
spellingShingle Greedy bases in variable Lebesgue spaces
Cruz-Uribe, David
Greedy algorithm
Non-linear approximation
Wavelets
Variable Lebesgue spaces
Lebesgue type estimates
title_short Greedy bases in variable Lebesgue spaces
title_full Greedy bases in variable Lebesgue spaces
title_fullStr Greedy bases in variable Lebesgue spaces
title_full_unstemmed Greedy bases in variable Lebesgue spaces
title_sort Greedy bases in variable Lebesgue spaces
dc.creator.none.fl_str_mv Cruz-Uribe, David
Hernández, Eugenio
Martell, José María
author Cruz-Uribe, David
author_facet Cruz-Uribe, David
Hernández, Eugenio
Martell, José María
author_role author
author2 Hernández, Eugenio
Martell, José María
author2_role author
author
dc.contributor.none.fl_str_mv Ministerio de Economía y Competitividad (España)
European Commission
National Science Foundation (US)
Martell, José María [0000-0001-6788-4769]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Greedy algorithm
Non-linear approximation
Wavelets
Variable Lebesgue spaces
Lebesgue type estimates
topic Greedy algorithm
Non-linear approximation
Wavelets
Variable Lebesgue spaces
Lebesgue type estimates
description We compute the right and left democracy functions of admissible wavelet bases in variable Lebesgue spaces de ned on Rn. As an application we give Lebesgue type inequalities for these wavelet bases. We also show that our techniques can be easily modi ed to prove analogous results for weighted variable Lebesgue spaces and variable exponent Triebel-Lizorkin spaces.
publishDate 2016
dc.date.none.fl_str_mv 2016
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Postprint
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/198100
url http://hdl.handle.net/10261/198100
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/MICINN//MTM2010-16518
info:eu-repo/grantAgreement/MICINN//SEV-2011-0087
info:eu-repo/grantAgreement/EC/FP7/615112
https://doi.org/10.1007/s00605-015-0862-0
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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