Operators of harmonic analysis in weighted spaces with non-standard growth
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.1/11116 |
Resumo: | Last years there was increasing an interest to the so-called function spaces with non-standard growth, known also as variable exponent Lebesgue spaces. For weighted such spaces on homogeneous spaces, we develop a certain variant of Rubio de Francia's extrapolation theorem. This extrapolation theorem is applied to obtain the boundedness in such spaces of various operators of harmonic analysis, such as maximal and singular operators, potential operators, Fourier multipliers, dominants of partial sums of trigonometric Fourier series and others, in weighted Lebesgue spaces with variable exponent. There are also given their vector-valued analogues. (C) 2008 Elsevier Inc. All rights reserved. |
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Operators of harmonic analysis in weighted spaces with non-standard growthGeneralized Lebesgue SpacesL-P spacesVariable exponentMaximal-functionSingular-integralsSobolev spacesPseudodifferential-operatorsNorm inequalityL-P(Center-Dot)ExtrapolationLast years there was increasing an interest to the so-called function spaces with non-standard growth, known also as variable exponent Lebesgue spaces. For weighted such spaces on homogeneous spaces, we develop a certain variant of Rubio de Francia's extrapolation theorem. This extrapolation theorem is applied to obtain the boundedness in such spaces of various operators of harmonic analysis, such as maximal and singular operators, potential operators, Fourier multipliers, dominants of partial sums of trigonometric Fourier series and others, in weighted Lebesgue spaces with variable exponent. There are also given their vector-valued analogues. (C) 2008 Elsevier Inc. All rights reserved.INTAS [06-1000017-8792]; Center CEMAT, Instituto Superior Tecnico, Lisbon, PortugalAcademic Press Inc Elsevier ScienceSapientiaKokilashvili, V. M.Samko, Stefan2018-12-07T14:52:33Z2009-042009-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/11116eng0022-247X10.1016/j.jmaa.2008.06.056info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-24T10:22:52Zoai:sapientia.ualg.pt:10400.1/11116Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:02:38.432909Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Operators of harmonic analysis in weighted spaces with non-standard growth |
title |
Operators of harmonic analysis in weighted spaces with non-standard growth |
spellingShingle |
Operators of harmonic analysis in weighted spaces with non-standard growth Kokilashvili, V. M. Generalized Lebesgue Spaces L-P spaces Variable exponent Maximal-function Singular-integrals Sobolev spaces Pseudodifferential-operators Norm inequality L-P(Center-Dot) Extrapolation |
title_short |
Operators of harmonic analysis in weighted spaces with non-standard growth |
title_full |
Operators of harmonic analysis in weighted spaces with non-standard growth |
title_fullStr |
Operators of harmonic analysis in weighted spaces with non-standard growth |
title_full_unstemmed |
Operators of harmonic analysis in weighted spaces with non-standard growth |
title_sort |
Operators of harmonic analysis in weighted spaces with non-standard growth |
author |
Kokilashvili, V. M. |
author_facet |
Kokilashvili, V. M. Samko, Stefan |
author_role |
author |
author2 |
Samko, Stefan |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Sapientia |
dc.contributor.author.fl_str_mv |
Kokilashvili, V. M. Samko, Stefan |
dc.subject.por.fl_str_mv |
Generalized Lebesgue Spaces L-P spaces Variable exponent Maximal-function Singular-integrals Sobolev spaces Pseudodifferential-operators Norm inequality L-P(Center-Dot) Extrapolation |
topic |
Generalized Lebesgue Spaces L-P spaces Variable exponent Maximal-function Singular-integrals Sobolev spaces Pseudodifferential-operators Norm inequality L-P(Center-Dot) Extrapolation |
description |
Last years there was increasing an interest to the so-called function spaces with non-standard growth, known also as variable exponent Lebesgue spaces. For weighted such spaces on homogeneous spaces, we develop a certain variant of Rubio de Francia's extrapolation theorem. This extrapolation theorem is applied to obtain the boundedness in such spaces of various operators of harmonic analysis, such as maximal and singular operators, potential operators, Fourier multipliers, dominants of partial sums of trigonometric Fourier series and others, in weighted Lebesgue spaces with variable exponent. There are also given their vector-valued analogues. (C) 2008 Elsevier Inc. All rights reserved. |
publishDate |
2009 |
dc.date.none.fl_str_mv |
2009-04 2009-04-01T00:00:00Z 2018-12-07T14:52:33Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10400.1/11116 |
url |
http://hdl.handle.net/10400.1/11116 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0022-247X 10.1016/j.jmaa.2008.06.056 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Academic Press Inc Elsevier Science |
publisher.none.fl_str_mv |
Academic Press Inc Elsevier Science |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799133260819726336 |