Goldstein, J.A.Kömbe, İsmailYener, Abdullah2020-11-212020-11-2120171078-0947https://doi.org/10.3934/dcds.2017085https://hdl.handle.net/11467/3681We 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.eninfo:eu-repo/semantics/closedAccessCarnot groupsHeisenberg-Pauli-Weyl inequalityTwo-weight Hardy inequalityWeighted Hardy inequalityArticle37420092021Q1WOS:000392032800011Q12-s2.0-8500920168310.3934/dcds.2017085