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dc.contributor.author
Berra, Fabio Martín
dc.contributor.author
Pradolini, Gladis Guadalupe
dc.contributor.author
Recchi, Diana Jorgelina
dc.date.available
2024-05-27T16:59:47Z
dc.date.issued
2024-04
dc.identifier.citation
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
dc.identifier.issn
1331-4343
dc.identifier.uri
http://hdl.handle.net/11336/236153
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Element
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
MULTILINEAR CONMUTATOR
dc.subject
FRACCIONAL OPERATORS
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LIPSCHITZ SPACES
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WEIGHTS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-05-27T12:56:22Z
dc.journal.volume
27
dc.journal.number
2
dc.journal.pagination
275-310
dc.journal.pais
Croacia
dc.journal.ciudad
Zagreb
dc.description.fil
Fil: Berra, Fabio Martín. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Pradolini, Gladis Guadalupe. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina
dc.description.fil
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
dc.journal.title
Mathematical Inequalities & Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://acortar.link/ZO0xkd
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