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dc.contributor.author
Bernardis, Ana Lucia
dc.contributor.author
Hartzstein, Silvia Inés
dc.contributor.author
Pradolini, Gladis Guadalupe
dc.date.available
2019-04-01T19:50:11Z
dc.date.issued
2006-10
dc.identifier.citation
Bernardis, Ana Lucia; Hartzstein, Silvia Inés; Pradolini, Gladis Guadalupe; Weighted inequalities for commutators of fractional integrals on spaces of homogeneous type; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 322; 2; 10-2006; 825-846
dc.identifier.issn
0022-247X
dc.identifier.uri
http://hdl.handle.net/11336/72959
dc.description.abstract
Let 0 < γ < 1, b be a BMO function and Iγ, b m the commutator of order m for the fractional integral. We prove two type of weighted Lp inequalities for Iγ, b m in the context of the spaces of homogeneous type. The first one establishes that, for A∞ weights, the operator Iγ, b m is bounded in the weighted Lp norm by the maximal operator Mγ (Mm), where Mγ is the fractional maximal operator and Mm is the Hardy-Littlewood maximal operator iterated m times. The second inequality is a consequence of the first one and shows that the operator Iγ, b m is bounded from Lp [Mγ p (M[(m + 1) p] w) (x) d μ (x)] to Lp [w (x) d μ (x)], where [(m + 1) p] is the integer part of (m + 1) p and no condition on the weight w is required. From the first inequality we also obtain weighted Lp-Lq estimates for Iγ, b m generalizing the classical results of Muckenhoupt and Wheeden for the fractional integral operator.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Commutators
dc.subject
Fractional Integral
dc.subject
Spaces of Homogeneous Type
dc.subject
Weighted Strong Inequalities
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Weighted inequalities for commutators of fractional integrals on spaces of homogeneous type
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-03-26T19:12:27Z
dc.journal.volume
322
dc.journal.number
2
dc.journal.pagination
825-846
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Bernardis, Ana Lucia. 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.description.fil
Fil: Hartzstein, Silvia Inés. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina
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
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.jmaa.2005.09.051
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X05009741


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