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dc.contributor.authorCiaurri Ó.
dc.contributor.authorRoncal, L. 
dc.contributor.authorThangavelu, S.
dc.date.accessioned2019-02-12T11:10:40Z
dc.date.available2019-02-12T11:10:40Z
dc.date.issued2018
dc.identifier.issn0013-0915
dc.identifier.urihttp://hdl.handle.net/20.500.11824/920
dc.description.abstractWe prove Hardy-type inequalities for a fractional Dunkl–Hermite operator, which incidentally gives Hardy inequalities for the fractional harmonic oscillator as well. The idea is to use h-harmonic expansions to reduce the problem in the Dunkl–Hermite context to the Laguerre setting. Then, we push forward a technique based on a non-local ground representation, initially developed by Frank et al. [‘Hardy–Lieb–Thirring inequalities for fractional Schrödinger operators, J. Amer. Math. Soc. 21 (2008), 925–950’] in the Euclidean setting, to obtain a Hardy inequality for the fractional-type Laguerre operator. The above-mentioned method is shown to be adaptable to an abstract setting, whenever there is a ‘good’ spectral theorem and an integral representation for the fractional operators involved.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.titleHardy-type inequalities for fractional powers of the Dunkl-Hermite operatoren_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1017/S0013091517000311
dc.relation.publisherversionhttps://doi.org/10.1017/S0013091517000311en_US
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleProc. Edinburgh Math. Soc. (2)en_US


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