dc.contributor.author Ciaurri Ó. dc.contributor.author Roncal, L. dc.date.accessioned 2019-02-12T21:34:31Z dc.date.available 2019-02-12T21:34:31Z dc.date.issued 2018 dc.identifier.issn 0039-3223 dc.identifier.uri http://hdl.handle.net/20.500.11824/925 dc.description.abstract We 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.sponsorship MTM2015-65888-C04-4-P en_US dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.title Vector-valued extensions for fractional integrals of Laguerre expansions en_US dc.type info:eu-repo/semantics/article en_US dc.identifier.doi 10.4064/sm8675-2-2017 dc.relation.projectID ES/1PE/SEV-2013-0323 en_US dc.relation.projectID EUS/BERC/BERC.2014-2017 en_US dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/publishedVersion en_US dc.journal.title Studia Math. en_US
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