A unified approach to weighted Hardy type inequalities on Carnot groups

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dc.contributor.authorGoldstein, J.A.
dc.contributor.authorKömbe, İsmail
dc.contributor.authorYener, Abdullah
dc.date.accessioned2020-11-21T15:53:46Z
dc.date.available2020-11-21T15:53:46Z
dc.date.issued2017en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractWe find a simple sufficient criterion on a pair of nonnegative weight functions V (x) and W (x) on a Carnot group G; so that the general weighted Lp Hardy type inequality (Equation presentted) is valid for any ? ? C? 0 (G) and p > 1: It is worth noting here that our unifying method may be readily used both to recover most of the previously known weighted Hardy and Heisenberg-Pauli-Weyl type inequalities as well as to construct other new inequalities with an explicit best constant on G: We also present some new results on two-weight Lp Hardy type inequalities with remainder terms on a bounded domain ? in G via a differential inequality.en_US
dc.identifier.doi10.3934/dcds.2017085en_US
dc.identifier.endpage2021en_US
dc.identifier.issn1078-0947
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85009201683en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage2009en_US
dc.identifier.urihttps://doi.org/10.3934/dcds.2017085
dc.identifier.urihttps://hdl.handle.net/11467/3681
dc.identifier.volume37en_US
dc.identifier.wosWOS:000392032800011en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSouthwest Missouri State Universityen_US
dc.relation.ispartofDiscrete and Continuous Dynamical Systems- Series Aen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCarnot groupsen_US
dc.subjectHeisenberg-Pauli-Weyl inequalityen_US
dc.subjectTwo-weight Hardy inequalityen_US
dc.subjectWeighted Hardy inequalityen_US
dc.titleA unified approach to weighted Hardy type inequalities on Carnot groupsen_US
dc.typeArticleen_US

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