Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers

Detalhes bibliográficos
Autor(a) principal: Fernandes, Cláudio A.
Data de Publicação: 2021
Outros Autores: Karlovich, Alexei Yu, Karlovich, Yuri I.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/125597
Resumo: This work was partially supported by the Fundacao para a Ciencia e a Tecnologia (Portuguese Foundation for Science and Technology) through the project UIDB/MAT/00297/2020 (Centro de Matematica e Aplicacoes) and by the SEP-CONACYT project A1-S-8793 (Mexico).
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spelling Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliersBanach algebraC-algebraEquivalence at infinityFourier convolution operatorFourier multiplierSlowly oscillating functionAnalysisAlgebra and Number TheoryThis work was partially supported by the Fundacao para a Ciencia e a Tecnologia (Portuguese Foundation for Science and Technology) through the project UIDB/MAT/00297/2020 (Centro de Matematica e Aplicacoes) and by the SEP-CONACYT project A1-S-8793 (Mexico).Let MX(R) be the Banach algebra of all Fourier multipliers on a Banach function space X(R) such that the Hardy–Littlewood maximal operator is bounded on X(R) and on its associate space X′(R). For two sets Ψ, Ω⊂ MX(R), let ΨΩ be the set of those c∈ Ψ for which there exists d∈ Ω such that the multiplier norm of χR\[-N,N](c- d) tends to zero as N→ ∞. In this case, we say that the Fourier multiplier c is equivalent at infinity to the Fourier multiplier d. We show that if Ω is a unital Banach subalgebra of MX(R) consisting of nice Fourier multipliers (for instance, continuous or slowly oscillating in certain sense) and Ψ is an arbitrary unital Banach subalgebra of MX(R), then ΨΩ is a also a unital Banach subalgebra of MX(R).CMA - Centro de Matemática e AplicaçõesDM - Departamento de MatemáticaRUNFernandes, Cláudio A.Karlovich, Alexei YuKarlovich, Yuri I.2022-04-03T00:30:58Z2021-042021-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/125597eng1735-8787PURE: 27880645https://doi.org/10.1007/s43037-020-00111-9info: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:RCAAP2024-03-11T05:06:28Zoai:run.unl.pt:10362/125597Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:45:43.673239Repositório 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 Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers
title Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers
spellingShingle Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers
Fernandes, Cláudio A.
Banach algebra
C-algebra
Equivalence at infinity
Fourier convolution operator
Fourier multiplier
Slowly oscillating function
Analysis
Algebra and Number Theory
title_short Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers
title_full Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers
title_fullStr Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers
title_full_unstemmed Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers
title_sort Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers
author Fernandes, Cláudio A.
author_facet Fernandes, Cláudio A.
Karlovich, Alexei Yu
Karlovich, Yuri I.
author_role author
author2 Karlovich, Alexei Yu
Karlovich, Yuri I.
author2_role author
author
dc.contributor.none.fl_str_mv CMA - Centro de Matemática e Aplicações
DM - Departamento de Matemática
RUN
dc.contributor.author.fl_str_mv Fernandes, Cláudio A.
Karlovich, Alexei Yu
Karlovich, Yuri I.
dc.subject.por.fl_str_mv Banach algebra
C-algebra
Equivalence at infinity
Fourier convolution operator
Fourier multiplier
Slowly oscillating function
Analysis
Algebra and Number Theory
topic Banach algebra
C-algebra
Equivalence at infinity
Fourier convolution operator
Fourier multiplier
Slowly oscillating function
Analysis
Algebra and Number Theory
description This work was partially supported by the Fundacao para a Ciencia e a Tecnologia (Portuguese Foundation for Science and Technology) through the project UIDB/MAT/00297/2020 (Centro de Matematica e Aplicacoes) and by the SEP-CONACYT project A1-S-8793 (Mexico).
publishDate 2021
dc.date.none.fl_str_mv 2021-04
2021-04-01T00:00:00Z
2022-04-03T00:30:58Z
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/10362/125597
url http://hdl.handle.net/10362/125597
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1735-8787
PURE: 27880645
https://doi.org/10.1007/s43037-020-00111-9
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.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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