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dc.contributor.author
Bernardis, Ana Lucia
dc.contributor.author
Lorente Dominguez, María
dc.contributor.author
Riveros, Maria Silvina
dc.date.available
2019-01-16T19:40:01Z
dc.date.issued
2011-10
dc.identifier.citation
Bernardis, Ana Lucia; Lorente Dominguez, María; Riveros, Maria Silvina; Weighted inequalities for fractional integral operators with kernel satisfying Hörmander type conditions
; Element; Mathematical Inequalities & Applications; 14; 4; 10-2011; 881-895
dc.identifier.issn
1331-4343
dc.identifier.uri
http://hdl.handle.net/11336/68154
dc.description.abstract
In this paper we study inequalities with weights for fractional operators Tαgiven by convolution with a kernel Kαwhich is supposed to satisfy some size condition and a fractional Hörmander type condition. As it is done for singular integrals, the conditions on the kernel have been generalized from the scale of Lebesgue spaces to that of Orlicz spaces. Our fractional operators include as particular cases the classical fractional integral Iα, fractional integrals associated to an homogeneous function and fractional integrals given by a Fourier multiplier.
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
Bmo
dc.subject
Commutators
dc.subject
Fractional Operators
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HÖRmander'S Condition of Young Type
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Muckenhoupt Weights
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Two-Weight Estimates
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Weighted inequalities for fractional integral operators with kernel satisfying Hörmander type conditions
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-01-14T13:30:09Z
dc.journal.volume
14
dc.journal.number
4
dc.journal.pagination
881-895
dc.journal.pais
Croacia
dc.journal.ciudad
Zagreb
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: Lorente Dominguez, María. Universidad de Málaga; España
dc.description.fil
Fil: Riveros, Maria Silvina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.journal.title
Mathematical Inequalities & Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.7153/mia-14-73
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://mia.ele-math.com/14-73/Weighted-inequalities-for-fractional-integral-operators-with-kernel-satisfying-Hormander-type-conditions
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