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dc.contributor.author
Pradolini, Gladis Guadalupe
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dc.date.available
2019-04-26T23:40:01Z
dc.date.issued
2010-07
dc.identifier.citation
Pradolini, Gladis Guadalupe; Weighted inequalities and pointwise estimates for the multilinear fractional integral and maximal operators; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 367; 2; 7-2010; 640-656
dc.identifier.issn
0022-247X
dc.identifier.uri
http://hdl.handle.net/11336/75187
dc.description.abstract
In this article we prove weighted norm inequalities and pointwise estimates between the multilinear fractional integral operator and the multilinear fractional maximal. As a consequence of these estimations we obtain weighted weak and strong inequalities for the multilinear fractional maximal operator or function. In particular, we extend some results given in Carro et al. (2005) [7] to the multilinear context. On the other hand we prove weighted pointwise estimates between the multilinear fractional maximal operator Mα, B associated to a Young function B and the multilinear maximal operators Mψ = M0, ψ, ψ (t) = B (t1 - α / (n m))n m / (n m - α). As an application of these estimate we obtain a direct proof of the Lp - Lq boundedness results of Mα, B for the case B (t) = t and Bk (t) = t (1 + log+ t)k when 1 / q = 1 / p - α / n. We also give sufficient conditions on the weights involved in the boundedness results of Mα, B that generalizes those given in Moen (2009) [22] for B (t) = t. Finally, we prove some boundedness results in Banach function spaces for a generalized version of the multilinear fractional maximal operator.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Multilineal Operators
dc.subject
Fractional Integrals
dc.subject
Maximal Operators
dc.subject
Weighted Norm Inequalities
dc.subject.classification
Matemática Pura
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dc.subject.classification
Matemáticas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Weighted inequalities and pointwise estimates for the multilinear fractional integral and maximal 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
2019-04-26T15:36:58Z
dc.journal.volume
367
dc.journal.number
2
dc.journal.pagination
640-656
dc.journal.pais
Estados Unidos
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dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Pradolini, Gladis Guadalupe. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.journal.title
Journal of Mathematical Analysis and Applications
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2010.02.008
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