Embeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable order

Detalhes bibliográficos
Autor(a) principal: Almeida, Alexandre
Data de Publicação: 2009
Outros Autores: Samko, Stefan
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.1/11733
Resumo: Pointwise estimates in variable exponent Sobolev spaces on quasi-metric measure spaces are investigated. Based on such estimates, Sobolev embeddings into Holder spaces with variable order are obtained. This extends some known results to the variable exponent setting. (C) 2008 Elsevier Inc. All rights reserved.
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spelling Embeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable orderMetric-spacesPointwise inequalitiesHomogeneous typeExponentPotentialsOperatorsLebesguePointwise estimates in variable exponent Sobolev spaces on quasi-metric measure spaces are investigated. Based on such estimates, Sobolev embeddings into Holder spaces with variable order are obtained. This extends some known results to the variable exponent setting. (C) 2008 Elsevier Inc. All rights reserved.INTAS [06-1000017-8792]Academic Press Inc Elsevier ScienceSapientiaAlmeida, AlexandreSamko, Stefan2018-12-07T14:57:51Z2009-052009-05-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/11733eng0022-247X10.1016/j.jmaa.2008.12.034info: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:RCAAP2023-07-24T10:23:34Zoai:sapientia.ualg.pt:10400.1/11733Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:03:11.815108Repositório 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 Embeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable order
title Embeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable order
spellingShingle Embeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable order
Almeida, Alexandre
Metric-spaces
Pointwise inequalities
Homogeneous type
Exponent
Potentials
Operators
Lebesgue
title_short Embeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable order
title_full Embeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable order
title_fullStr Embeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable order
title_full_unstemmed Embeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable order
title_sort Embeddings of variable Hajlasz-Sobolev spaces into holder spaces of variable order
author Almeida, Alexandre
author_facet Almeida, Alexandre
Samko, Stefan
author_role author
author2 Samko, Stefan
author2_role author
dc.contributor.none.fl_str_mv Sapientia
dc.contributor.author.fl_str_mv Almeida, Alexandre
Samko, Stefan
dc.subject.por.fl_str_mv Metric-spaces
Pointwise inequalities
Homogeneous type
Exponent
Potentials
Operators
Lebesgue
topic Metric-spaces
Pointwise inequalities
Homogeneous type
Exponent
Potentials
Operators
Lebesgue
description Pointwise estimates in variable exponent Sobolev spaces on quasi-metric measure spaces are investigated. Based on such estimates, Sobolev embeddings into Holder spaces with variable order are obtained. This extends some known results to the variable exponent setting. (C) 2008 Elsevier Inc. All rights reserved.
publishDate 2009
dc.date.none.fl_str_mv 2009-05
2009-05-01T00:00:00Z
2018-12-07T14:57:51Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.1/11733
url http://hdl.handle.net/10400.1/11733
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-247X
10.1016/j.jmaa.2008.12.034
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)
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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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