Morrey spaces are closely embedded between vanishing stummel spaces

Detalhes bibliográficos
Autor(a) principal: Samko, Stefan
Data de Publicação: 2014
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.1/11092
Resumo: We prove a new property of Morrey function spaces by showing that the generalized local Morrey spaces are embedded between weighted Lebesgue spaces with weights differing only by a logarithmic factor. This leads to the statement that the generalized global Morrey spaces are embedded between two generalized Stummel classes whose characteristics similarly differ by a logarithmic factor. We give examples proving that these embeddings are strict. For the generalized Stummel spaces we also give an equivalent norm.
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spelling Morrey spaces are closely embedded between vanishing stummel spacesMaximal operatorWe prove a new property of Morrey function spaces by showing that the generalized local Morrey spaces are embedded between weighted Lebesgue spaces with weights differing only by a logarithmic factor. This leads to the statement that the generalized global Morrey spaces are embedded between two generalized Stummel classes whose characteristics similarly differ by a logarithmic factor. We give examples proving that these embeddings are strict. For the generalized Stummel spaces we also give an equivalent norm.ElementSapientiaSamko, Stefan2018-12-07T14:52:29Z2014-042014-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/11092eng1331-434310.7153/mia-17-46info: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:RCAAP2023-07-24T10:22:50Zoai:sapientia.ualg.pt:10400.1/11092Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:02:37.262842Repositório 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 Morrey spaces are closely embedded between vanishing stummel spaces
title Morrey spaces are closely embedded between vanishing stummel spaces
spellingShingle Morrey spaces are closely embedded between vanishing stummel spaces
Samko, Stefan
Maximal operator
title_short Morrey spaces are closely embedded between vanishing stummel spaces
title_full Morrey spaces are closely embedded between vanishing stummel spaces
title_fullStr Morrey spaces are closely embedded between vanishing stummel spaces
title_full_unstemmed Morrey spaces are closely embedded between vanishing stummel spaces
title_sort Morrey spaces are closely embedded between vanishing stummel spaces
author Samko, Stefan
author_facet Samko, Stefan
author_role author
dc.contributor.none.fl_str_mv Sapientia
dc.contributor.author.fl_str_mv Samko, Stefan
dc.subject.por.fl_str_mv Maximal operator
topic Maximal operator
description We prove a new property of Morrey function spaces by showing that the generalized local Morrey spaces are embedded between weighted Lebesgue spaces with weights differing only by a logarithmic factor. This leads to the statement that the generalized global Morrey spaces are embedded between two generalized Stummel classes whose characteristics similarly differ by a logarithmic factor. We give examples proving that these embeddings are strict. For the generalized Stummel spaces we also give an equivalent norm.
publishDate 2014
dc.date.none.fl_str_mv 2014-04
2014-04-01T00:00:00Z
2018-12-07T14:52:29Z
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/10400.1/11092
url http://hdl.handle.net/10400.1/11092
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1331-4343
10.7153/mia-17-46
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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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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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
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