Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators

Autores
Berra, Fabio Martín; Pradolini, Gladis Guadalupe; Recchi, Diana Jorgelina
Año de publicación
2024
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We deal with the boundedness properties of higher order commutators related to some generalizations of the multilinear fractional integral operator of order m, Im , from a product of weighted Lebesgue spaces into adequate weighted Lipschitz spaces, extending some previous estimates for the linear case. Our study includes two different types of commutators and sufficient conditions on the weights in order to guarantee the continuity properties described above. We also exhibit the optimal range of the parameters involved. The optimality is understood in the sense that the parameters defining the corresponding spaces belong to a certain region, being the weights trivial outside of it. We further show examples of weights for the class which cover the mentioned area.
Fil: Berra, Fabio Martín. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina
Fil: Pradolini, Gladis Guadalupe. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina
Fil: Recchi, Diana Jorgelina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Materia
MULTILINEAR CONMUTATOR
FRACCIONAL OPERATORS
LIPSCHITZ SPACES
WEIGHTS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/236153

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network_name_str CONICET Digital (CONICET)
spelling Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operatorsBerra, Fabio MartínPradolini, Gladis GuadalupeRecchi, Diana JorgelinaMULTILINEAR CONMUTATORFRACCIONAL OPERATORSLIPSCHITZ SPACESWEIGHTShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We deal with the boundedness properties of higher order commutators related to some generalizations of the multilinear fractional integral operator of order m, Im , from a product of weighted Lebesgue spaces into adequate weighted Lipschitz spaces, extending some previous estimates for the linear case. Our study includes two different types of commutators and sufficient conditions on the weights in order to guarantee the continuity properties described above. We also exhibit the optimal range of the parameters involved. The optimality is understood in the sense that the parameters defining the corresponding spaces belong to a certain region, being the weights trivial outside of it. We further show examples of weights for the class which cover the mentioned area.Fil: Berra, Fabio Martín. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; ArgentinaFil: Pradolini, Gladis Guadalupe. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; ArgentinaFil: Recchi, Diana Jorgelina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaElement2024-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/236153Berra, Fabio Martín; Pradolini, Gladis Guadalupe; Recchi, Diana Jorgelina; Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators; Element; Mathematical Inequalities & Applications; 27; 2; 4-2024; 275-3101331-4343CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://acortar.link/ZO0xkdinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:36:21Zoai:ri.conicet.gov.ar:11336/236153instacron: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:34982025-09-29 09:36:21.321CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators
title Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators
spellingShingle Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators
Berra, Fabio Martín
MULTILINEAR CONMUTATOR
FRACCIONAL OPERATORS
LIPSCHITZ SPACES
WEIGHTS
title_short Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators
title_full Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators
title_fullStr Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators
title_full_unstemmed Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators
title_sort Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators
dc.creator.none.fl_str_mv Berra, Fabio Martín
Pradolini, Gladis Guadalupe
Recchi, Diana Jorgelina
author Berra, Fabio Martín
author_facet Berra, Fabio Martín
Pradolini, Gladis Guadalupe
Recchi, Diana Jorgelina
author_role author
author2 Pradolini, Gladis Guadalupe
Recchi, Diana Jorgelina
author2_role author
author
dc.subject.none.fl_str_mv MULTILINEAR CONMUTATOR
FRACCIONAL OPERATORS
LIPSCHITZ SPACES
WEIGHTS
topic MULTILINEAR CONMUTATOR
FRACCIONAL OPERATORS
LIPSCHITZ SPACES
WEIGHTS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We deal with the boundedness properties of higher order commutators related to some generalizations of the multilinear fractional integral operator of order m, Im , from a product of weighted Lebesgue spaces into adequate weighted Lipschitz spaces, extending some previous estimates for the linear case. Our study includes two different types of commutators and sufficient conditions on the weights in order to guarantee the continuity properties described above. We also exhibit the optimal range of the parameters involved. The optimality is understood in the sense that the parameters defining the corresponding spaces belong to a certain region, being the weights trivial outside of it. We further show examples of weights for the class which cover the mentioned area.
Fil: Berra, Fabio Martín. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina
Fil: Pradolini, Gladis Guadalupe. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina
Fil: Recchi, Diana Jorgelina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
description We deal with the boundedness properties of higher order commutators related to some generalizations of the multilinear fractional integral operator of order m, Im , from a product of weighted Lebesgue spaces into adequate weighted Lipschitz spaces, extending some previous estimates for the linear case. Our study includes two different types of commutators and sufficient conditions on the weights in order to guarantee the continuity properties described above. We also exhibit the optimal range of the parameters involved. The optimality is understood in the sense that the parameters defining the corresponding spaces belong to a certain region, being the weights trivial outside of it. We further show examples of weights for the class which cover the mentioned area.
publishDate 2024
dc.date.none.fl_str_mv 2024-04
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/11336/236153
Berra, Fabio Martín; Pradolini, Gladis Guadalupe; Recchi, Diana Jorgelina; Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators; Element; Mathematical Inequalities & Applications; 27; 2; 4-2024; 275-310
1331-4343
CONICET Digital
CONICET
url http://hdl.handle.net/11336/236153
identifier_str_mv Berra, Fabio Martín; Pradolini, Gladis Guadalupe; Recchi, Diana Jorgelina; Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators; Element; Mathematical Inequalities & Applications; 27; 2; 4-2024; 275-310
1331-4343
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://acortar.link/ZO0xkd
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
dc.publisher.none.fl_str_mv Element
publisher.none.fl_str_mv Element
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
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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