A generalization of the boundedness of certain integral operators in variable lebesgue spaces

Let n ε N. Let A1, ...Am be n×n invertible matrices. Let 0 ≤ α < n and 0 < αi < n such that α1 +...+αm = n-α . We define In [8] we obtained the boundedness of this operator from Lp(.)(Rn) into Lq(.)(Rn) for 1/q(.) = 1/p(.) - α/n, in the case that Ai is a power of certain fixed matrix A and...

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Detalhes bibliográficos
Autores: Urciuolo, Marta, Vallejos, Lucas Alejandro
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2020
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositório:CONICET Digital (CONICET)
Idioma:inglês
OAI Identifier:oai:ri.conicet.gov.ar:11336/143432
Acesso em linha:http://hdl.handle.net/11336/143432
Access Level:Acceso aberto
Palavra-chave:FRACTIONAL INTEGRALS
VARIABLE EXPONENTS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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spelling A generalization of the boundedness of certain integral operators in variable lebesgue spacesUrciuolo, MartaVallejos, Lucas AlejandroFRACTIONAL INTEGRALSVARIABLE EXPONENTShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let n ε N. Let A1, ...Am be n×n invertible matrices. Let 0 ≤ α < n and 0 < αi < n such that α1 +...+αm = n-α . We define In [8] we obtained the boundedness of this operator from Lp(.)(Rn) into Lq(.)(Rn) for 1/q(.) = 1/p(.) - α/n, in the case that Ai is a power of certain fixed matrix A and for exponent functions p satisfying log-Hölder conditions and p(Ay) = p(y), y ε Rn. We will show now that the hypothesis on p, in certain cases, is necessary for the boundedness of Tα and we also prove the result for more general matrices Ai.Fil: Urciuolo, Marta. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Vallejos, Lucas Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaElement D.O.O.2020-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/143432Urciuolo, Marta; Vallejos, Lucas Alejandro; A generalization of the boundedness of certain integral operators in variable lebesgue spaces; Element D.O.O.; Journal of Mathematical Inequalities; 14; 2; 6-2020; 547-5571846-579XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.7153/jmi-2020-14-34info:eu-repo/semantics/altIdentifier/url/http://jmi.ele-math.com/14-34/A-generalization-of-the-boundedness-of-certain-integral-operators-in-variable-Lebesgue-spacesinfo:eu-repo/semantics/altIdentifier/url/http://files.ele-math.com/abstracts/jmi-14-34-abs.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:18:37Zoai:ri.conicet.gov.ar:11336/143432instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982024-05-08 14:18:37.87CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A generalization of the boundedness of certain integral operators in variable lebesgue spaces
title A generalization of the boundedness of certain integral operators in variable lebesgue spaces
spellingShingle A generalization of the boundedness of certain integral operators in variable lebesgue spaces
Urciuolo, Marta
FRACTIONAL INTEGRALS
VARIABLE EXPONENTS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short A generalization of the boundedness of certain integral operators in variable lebesgue spaces
title_full A generalization of the boundedness of certain integral operators in variable lebesgue spaces
title_fullStr A generalization of the boundedness of certain integral operators in variable lebesgue spaces
title_full_unstemmed A generalization of the boundedness of certain integral operators in variable lebesgue spaces
title_sort A generalization of the boundedness of certain integral operators in variable lebesgue spaces
dc.creator.none.fl_str_mv Urciuolo, Marta
Vallejos, Lucas Alejandro
author Urciuolo, Marta
author_facet Urciuolo, Marta
Vallejos, Lucas Alejandro
author_role author
author2 Vallejos, Lucas Alejandro
author2_role author
dc.subject.none.fl_str_mv FRACTIONAL INTEGRALS
VARIABLE EXPONENTS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic FRACTIONAL INTEGRALS
VARIABLE EXPONENTS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description Let n ε N. Let A1, ...Am be n×n invertible matrices. Let 0 ≤ α < n and 0 < αi < n such that α1 +...+αm = n-α . We define In [8] we obtained the boundedness of this operator from Lp(.)(Rn) into Lq(.)(Rn) for 1/q(.) = 1/p(.) - α/n, in the case that Ai is a power of certain fixed matrix A and for exponent functions p satisfying log-Hölder conditions and p(Ay) = p(y), y ε Rn. We will show now that the hypothesis on p, in certain cases, is necessary for the boundedness of Tα and we also prove the result for more general matrices Ai.
publishDate 2020
dc.date.none.fl_str_mv 2020-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/143432
Urciuolo, Marta; Vallejos, Lucas Alejandro; A generalization of the boundedness of certain integral operators in variable lebesgue spaces; Element D.O.O.; Journal of Mathematical Inequalities; 14; 2; 6-2020; 547-557
1846-579X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/143432
identifier_str_mv Urciuolo, Marta; Vallejos, Lucas Alejandro; A generalization of the boundedness of certain integral operators in variable lebesgue spaces; Element D.O.O.; Journal of Mathematical Inequalities; 14; 2; 6-2020; 547-557
1846-579X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.7153/jmi-2020-14-34
info:eu-repo/semantics/altIdentifier/url/http://jmi.ele-math.com/14-34/A-generalization-of-the-boundedness-of-certain-integral-operators-in-variable-Lebesgue-spaces
info:eu-repo/semantics/altIdentifier/url/http://files.ele-math.com/abstracts/jmi-14-34-abs.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Element D.O.O.
publisher.none.fl_str_mv Element D.O.O.
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 15.812429

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