Inversion of the Bessel potential operator in weighted variable Lebesgue spaces

Detalhes bibliográficos
Autor(a) principal: Almeida, Alexandre
Data de Publicação: 2008
Outros Autores: Rafeiro, Humberto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.1/11119
Resumo: We study the inversion problem of the Bessel potential operator within the frameworks of the weighted Lebesgue spaces with variable exponent. The inverse operator is constructed by using pproximative inverse operators. This generalizes some classical results to the variable exponent setting. (c) 2007 Elsevier Inc. All rights reserved.
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spelling Inversion of the Bessel potential operator in weighted variable Lebesgue spacesL-P spacesGeneralized LebesgueMaximal-functionExponentWe study the inversion problem of the Bessel potential operator within the frameworks of the weighted Lebesgue spaces with variable exponent. The inverse operator is constructed by using pproximative inverse operators. This generalizes some classical results to the variable exponent setting. (c) 2007 Elsevier Inc. All rights reserved.Academic Press Inc Elsevier ScienceSapientiaAlmeida, AlexandreRafeiro, Humberto2018-12-07T14:52:33Z2008-042008-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/11119eng0022-247X10.1016/j.jmaa.2007.09.064info: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:10400.1/11119Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:02:38.596904Repositório 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 Inversion of the Bessel potential operator in weighted variable Lebesgue spaces
title Inversion of the Bessel potential operator in weighted variable Lebesgue spaces
spellingShingle Inversion of the Bessel potential operator in weighted variable Lebesgue spaces
Almeida, Alexandre
L-P spaces
Generalized Lebesgue
Maximal-function
Exponent
title_short Inversion of the Bessel potential operator in weighted variable Lebesgue spaces
title_full Inversion of the Bessel potential operator in weighted variable Lebesgue spaces
title_fullStr Inversion of the Bessel potential operator in weighted variable Lebesgue spaces
title_full_unstemmed Inversion of the Bessel potential operator in weighted variable Lebesgue spaces
title_sort Inversion of the Bessel potential operator in weighted variable Lebesgue spaces
author Almeida, Alexandre
author_facet Almeida, Alexandre
Rafeiro, Humberto
author_role author
author2 Rafeiro, Humberto
author2_role author
dc.contributor.none.fl_str_mv Sapientia
dc.contributor.author.fl_str_mv Almeida, Alexandre
Rafeiro, Humberto
dc.subject.por.fl_str_mv L-P spaces
Generalized Lebesgue
Maximal-function
Exponent
topic L-P spaces
Generalized Lebesgue
Maximal-function
Exponent
description We study the inversion problem of the Bessel potential operator within the frameworks of the weighted Lebesgue spaces with variable exponent. The inverse operator is constructed by using pproximative inverse operators. This generalizes some classical results to the variable exponent setting. (c) 2007 Elsevier Inc. All rights reserved.
publishDate 2008
dc.date.none.fl_str_mv 2008-04
2008-04-01T00:00:00Z
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/10400.1/11119
url http://hdl.handle.net/10400.1/11119
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-247X
10.1016/j.jmaa.2007.09.064
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
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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
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