Variable exponent Besov-Morrey spaces

Detalhes bibliográficos
Autor(a) principal: Almeida, Alexandre
Data de Publicação: 2019
Outros Autores: Caetano, António
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/26906
Resumo: In this paper we introduce Besov-Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and atomic and molecular decompositions. This new scale of non-standard function spaces requires the introduction of variable exponent mixed Morrey-sequence spaces, which in turn are defined within the framework of semimodular spaces. In particular, we obtain a convolution inequality involving special radial kernels, which proves to be a key tool in this work.
id RCAP_ce4e2e68db4dd7c773259939f6c114b8
oai_identifier_str oai:ria.ua.pt:10773/26906
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Variable exponent Besov-Morrey spacesVariable exponentsNon-standard growthMixed Morrey-sequence spacesBesov-Morrey spacesConvolution inequalitiesMaximal characterizationAtomic representationMolecular representationIn this paper we introduce Besov-Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and atomic and molecular decompositions. This new scale of non-standard function spaces requires the introduction of variable exponent mixed Morrey-sequence spaces, which in turn are defined within the framework of semimodular spaces. In particular, we obtain a convolution inequality involving special radial kernels, which proves to be a key tool in this work.Springer Verlag2019-10-31T18:07:25Z2021-01-09T00:00:00Z2020-01-09T00:00:00Z2020-01-09info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/26906eng1069-586910.1007/s00041-019-09711-yAlmeida, AlexandreCaetano, Antónioinfo: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:RCAAP2024-02-22T11:52:07Zoai:ria.ua.pt:10773/26906Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:59:48.472606Repositório 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 Variable exponent Besov-Morrey spaces
title Variable exponent Besov-Morrey spaces
spellingShingle Variable exponent Besov-Morrey spaces
Almeida, Alexandre
Variable exponents
Non-standard growth
Mixed Morrey-sequence spaces
Besov-Morrey spaces
Convolution inequalities
Maximal characterization
Atomic representation
Molecular representation
title_short Variable exponent Besov-Morrey spaces
title_full Variable exponent Besov-Morrey spaces
title_fullStr Variable exponent Besov-Morrey spaces
title_full_unstemmed Variable exponent Besov-Morrey spaces
title_sort Variable exponent Besov-Morrey spaces
author Almeida, Alexandre
author_facet Almeida, Alexandre
Caetano, António
author_role author
author2 Caetano, António
author2_role author
dc.contributor.author.fl_str_mv Almeida, Alexandre
Caetano, António
dc.subject.por.fl_str_mv Variable exponents
Non-standard growth
Mixed Morrey-sequence spaces
Besov-Morrey spaces
Convolution inequalities
Maximal characterization
Atomic representation
Molecular representation
topic Variable exponents
Non-standard growth
Mixed Morrey-sequence spaces
Besov-Morrey spaces
Convolution inequalities
Maximal characterization
Atomic representation
Molecular representation
description In this paper we introduce Besov-Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and atomic and molecular decompositions. This new scale of non-standard function spaces requires the introduction of variable exponent mixed Morrey-sequence spaces, which in turn are defined within the framework of semimodular spaces. In particular, we obtain a convolution inequality involving special radial kernels, which proves to be a key tool in this work.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-31T18:07:25Z
2020-01-09T00:00:00Z
2020-01-09
2021-01-09T00:00:00Z
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/10773/26906
url http://hdl.handle.net/10773/26906
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1069-5869
10.1007/s00041-019-09711-y
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 Springer Verlag
publisher.none.fl_str_mv Springer Verlag
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
_version_ 1799137652638744576

Registros relacionados