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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/236153
Ver los metadatos del registro completo
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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 |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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13.070432 |