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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  
dc.subject
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