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dc.contributor.authorCiaurri Ó.
dc.contributor.authorRoncal, L. 
dc.date.accessioned2019-02-12T21:34:31Z
dc.date.available2019-02-12T21:34:31Z
dc.date.issued2018
dc.identifier.issn0039-3223
dc.identifier.urihttp://hdl.handle.net/20.500.11824/925
dc.description.abstractWe prove some vector-valued inequalities for fractional integrals defined for several orthonormal systems of Laguerre functions. On the one hand, we obtain weighted $L^p-L^q$ vector-valued extensions, in a multidimensional setting, for negative powers of the operator related to so-called Laguerre expansions of Hermite type. On the other hand, we give necessary and sufficient conditions for vector-valued $L^p-L^q$ estimates related to negative powers of the Laguerre operator associated to expansions of convolution type, in a one-dimensional setting. Both types of vector-valued inequalities are based on estimates of the kernel with precise control of the parameters involved. As an application, mixed norm estimates for fractional integrals related to the harmonic oscillator are deduced.en_US
dc.description.sponsorshipMTM2015-65888-C04-4-Pen_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleVector-valued extensions for fractional integrals of Laguerre expansionsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.4064/sm8675-2-2017
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleStudia Math.en_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España