Variable exponent fractional integrals in the limiting case alpha(x)p(x) equivalent to n on quasimetric measure spaces

Detalhes bibliográficos
Autor(a) principal: Samko, Stefan
Data de Publicação: 2020
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.1/16553
Resumo: We show that the fractional operator I-alpha(center dot), of variable order on a bounded open set in Omega, in a quasimetric measure space (X, d, mu) in the case alpha(x)p(x) = n (where n comes from the growth condition on the measure mu), is bounded from the variable exponent Lebesgue space L-p(center dot)(Omega) into BMO(Omega) under certain assumptions on p(x) and alpha(x).
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spelling Variable exponent fractional integrals in the limiting case alpha(x)p(x) equivalent to n on quasimetric measure spacesRiesz potentialVariable exponent spacesSobolev type theoremBMO resultsQuasimetric measure spaceMathematicsWe show that the fractional operator I-alpha(center dot), of variable order on a bounded open set in Omega, in a quasimetric measure space (X, d, mu) in the case alpha(x)p(x) = n (where n comes from the growth condition on the measure mu), is bounded from the variable exponent Lebesgue space L-p(center dot)(Omega) into BMO(Omega) under certain assumptions on p(x) and alpha(x).Russian Fund of Basic ResearchRussian Foundation for Basic Research (RFBR) [15-01-02732]De GruyterSapientiaSamko, Stefan2021-06-24T11:35:51Z2020-032020-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/16553eng1072-947X10.1515/gmj-2018-0047info: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:RCAAP2023-07-24T10:28:30Zoai:sapientia.ualg.pt:10400.1/16553Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:06:40.388682Repositório 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 fractional integrals in the limiting case alpha(x)p(x) equivalent to n on quasimetric measure spaces
title Variable exponent fractional integrals in the limiting case alpha(x)p(x) equivalent to n on quasimetric measure spaces
spellingShingle Variable exponent fractional integrals in the limiting case alpha(x)p(x) equivalent to n on quasimetric measure spaces
Samko, Stefan
Riesz potential
Variable exponent spaces
Sobolev type theorem
BMO results
Quasimetric measure space
Mathematics
title_short Variable exponent fractional integrals in the limiting case alpha(x)p(x) equivalent to n on quasimetric measure spaces
title_full Variable exponent fractional integrals in the limiting case alpha(x)p(x) equivalent to n on quasimetric measure spaces
title_fullStr Variable exponent fractional integrals in the limiting case alpha(x)p(x) equivalent to n on quasimetric measure spaces
title_full_unstemmed Variable exponent fractional integrals in the limiting case alpha(x)p(x) equivalent to n on quasimetric measure spaces
title_sort Variable exponent fractional integrals in the limiting case alpha(x)p(x) equivalent to n on quasimetric measure 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 Riesz potential
Variable exponent spaces
Sobolev type theorem
BMO results
Quasimetric measure space
Mathematics
topic Riesz potential
Variable exponent spaces
Sobolev type theorem
BMO results
Quasimetric measure space
Mathematics
description We show that the fractional operator I-alpha(center dot), of variable order on a bounded open set in Omega, in a quasimetric measure space (X, d, mu) in the case alpha(x)p(x) = n (where n comes from the growth condition on the measure mu), is bounded from the variable exponent Lebesgue space L-p(center dot)(Omega) into BMO(Omega) under certain assumptions on p(x) and alpha(x).
publishDate 2020
dc.date.none.fl_str_mv 2020-03
2020-03-01T00:00:00Z
2021-06-24T11:35:51Z
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/10400.1/16553
url http://hdl.handle.net/10400.1/16553
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1072-947X
10.1515/gmj-2018-0047
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 De Gruyter
publisher.none.fl_str_mv De Gruyter
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
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