General weighted Hardy-type inequalities related to greiner operators

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dc.contributor.authorYener, Abdullah
dc.date.accessioned2020-11-21T15:53:16Z
dc.date.available2020-11-21T15:53:16Z
dc.date.issued2018en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractIn this article, we present a general method that can be used to deduce weighted Hardy-type inequalities from a particular non-linear partial differential inequality in a relatively simple and unified way on the sub-Riemannian manifold R 2 n +1 = R n ×R n ×R, defined by the Greiner vector fields ? X j = ?xj + 2ky j |z| 2 k? 2 ? ?l , ? Y j = ?yj ? 2kx j |z| 2 k? 2 ? ?l , j = 1, . . ., n, where z = x + iy ? C n , l ? R, k ? 1. Our method allows us to improve, extend, and unify many previously obtained sharp weighted Hardy-type inequalities as well as to yield new ones. These cases are illustrated by giving many concrete examples, including radial, logarithmic, hyperbolic and non-radial weights. Furthermore, we introduce a new technique for constructing two-weight L p Hardy-type inequalities with remainder terms on smooth bounded domains ? in R 2 n +1 . We also give several applications leading to various weighted Hardy inequalities with remainder terms. Copyright © 2018 Rocky Mountain Mathematics Consortium.en_US
dc.identifier.doi10.1216/RMJ-2018-48-7-2405en_US
dc.identifier.endpage2430en_US
dc.identifier.issn0035-7596
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85061657361en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage2405en_US
dc.identifier.urihttps://doi.org/10.1216/RMJ-2018-48-7-2405
dc.identifier.urihttps://hdl.handle.net/11467/3521
dc.identifier.volume48en_US
dc.identifier.wosWOS:000453227100013en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherRocky Mountain Mathematics Consortiumen_US
dc.relation.ispartofRocky Mountain Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeneralized Greiner operatoren_US
dc.subjectHeisenberg-Pauli-Weyl inequalityen_US
dc.subjectRemainder termsen_US
dc.subjectTwo-weight Hardy inequalityen_US
dc.subjectWeighted Hardy inequalityen_US
dc.titleGeneral weighted Hardy-type inequalities related to greiner operatorsen_US
dc.typeArticleen_US

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