Sharp weighted bounds for fractional integral operators

Lacey, Michael T.; Moen, Kabe; Pérez Moreno, Carlos; Torres, Rodolfo H.

doi:http://dx.doi.org/10.1016/j.jfa.2010.02.004

Artículo

dc.creator	Lacey, Michael T.	es
dc.creator	Moen, Kabe	es
dc.creator	Pérez Moreno, Carlos	es
dc.creator	Torres, Rodolfo H.	es
dc.date.accessioned	2016-06-16T07:30:16Z
dc.date.available	2016-06-16T07:30:16Z
dc.date.issued	2010-09-01
dc.identifier.citation	Lacey, M.T., Moen, K., Pérez Moreno, C. y Torres, R.H. (2010). Sharp weighted bounds for fractional integral operators. Journal of Functional Analysis, 259 (5), 1073-1097.
dc.identifier.issn	0022-1236	es
dc.identifier.issn	1096-0783	es
dc.identifier.uri	http://hdl.handle.net/11441/42372
dc.description.abstract	The relationship between the operator norms of fractional integral operators acting on weighted Lebesgue spaces and the constant of the weights is investigated. Sharp bounds are obtained for both the fractional integral operators and the associated fractional maximal functions. As an application improved Sobolev inequalities are obtained. Some of the techniques used include a sharp off-diagonal version of the extrapolation theorem of Rubio de Francia and characterizations of two-weight norm inequalities.	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Journal of Functional Analysis, 259 (5), 1073-1097.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Maximal operators	es
dc.subject	fractional integrals	es
dc.subject	singular integrals	es
dc.subject	weighted norm inequalities	es
dc.subject	extrapolation	es
dc.subject	sharp bounds	es
dc.title	Sharp weighted bounds for fractional integral operators	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	análisis matemático	es
dc.identifier.doi	http://dx.doi.org/10.1016/j.jfa.2010.02.004	es
idus.format.extent	23 p.	es
dc.journaltitle	Journal of Functional Analysis	es
dc.publication.volumen	259	es
dc.publication.issue	5	es
dc.publication.initialPage	1073	es
dc.publication.endPage	1097	es
dc.relation.publicationplace	Amsterdam	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/42372

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