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dc.contributor.authorBoggarapu P.en_US
dc.contributor.authorRoncal L.en_US
dc.contributor.authorThangavelu S.en_US
dc.dateinfo:eu-repo/date/embargoEnd/2020-05-01en_US
dc.date.accessioned2019-05-01T11:03:18Z
dc.date.available2019-05-01T11:03:18Z
dc.date.issued2019-09
dc.identifier.issn1534-0392
dc.identifier.urihttp://hdl.handle.net/20.500.11824/973
dc.description.abstractWe obtain generalised trace Hardy inequalities for fractional powers of general operators given by sums of squares of vector fields. Such inequalities are derived by means of particular solutions of an extended equation associated to the above-mentioned operators. As a consequence, Hardy inequalities are also deduced. Particular cases include Laplacians on stratified groups, Euclidean motion groups and special Hermite operators. Fairly explicit expressions for the constants are provided. Moreover, we show several characterisations of the solutions of the extension problems associated to operators with discrete spectrum, namely Laplacians on compact Lie groups, Hermite and special Hermite operators.en_US
dc.description.sponsorship2017 Leonardo grant for Researchers and Cultural Creators, BBVA Foundationen_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherCommunications on pure and applied analysisen_US
dc.relationES/1PE/SEV-2017-0718en_US
dc.relationES/1PE/MTM2017-82160-C2-1-Pen_US
dc.relationEUS/BERC/BERC.2018-2021en_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectTrace Hardy inequalityen_US
dc.subjectHardy's inequalityen_US
dc.subjectextension problemen_US
dc.subjectcharacterisation of solutionsen_US
dc.subjectfractional Laplacianen_US
dc.titleOn extension problem, trace hardy and Hardy’s inequalities for some fractional Laplaciansen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/publishedVersionen_US
dc.identifier.doi10.3934/cpaa.2019116
dc.relation.publisherversionhttps://www.aimsciences.org/article/doi/10.3934/cpaa.2019116en_US


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