Weighted rellich type inequalities related to baouendi-grushin operators

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dc.contributor.authorKömbe, İsmail
dc.contributor.authorYener, Abdullah
dc.date.accessioned2020-11-21T15:51:41Z
dc.date.available2020-11-21T15:51:41Z
dc.date.issued2017en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractWe find a simple sufficient criterion on a pair of nonnegative weight functions a (x, y) and b (x, y) in ?m+k so that the general weighted Lp Rellich type inequality (Formula presented) holds for all u ? C0?(?m+k). Here ?? = ?x + |x|2??y is the Baouendi-Grushin operator, ? > 0, m, k ? 1 and p > 1. It is important to point out here that our approach is constructive in the sense that it allows us to retrieve already established weighted sharp Rellich type inequalities as well as to get other new results with an explicit constant on ?m+k. We also obtain a sharp Lp Rellich type inequality that connects first to second order derivatives and several new two-weight Rellich type inequalities with remainder terms on smooth bounded domains ? in ?m+k via a nonlinear differential inequality. © 2017 American Mathematical Society.en_US
dc.identifier.doi10.1090/proc/13730en_US
dc.identifier.endpage4857en_US
dc.identifier.issn0002-9939
dc.identifier.issue11en_US
dc.identifier.scopus2-s2.0-85029581835en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage4845en_US
dc.identifier.urihttps://doi.org/10.1090/proc/13730
dc.identifier.urihttps://hdl.handle.net/11467/3494
dc.identifier.volume145en_US
dc.identifier.wosWOS:000409193700024en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmerican Mathematical Societyen_US
dc.relation.ispartofProceedings of the American Mathematical Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBaouendi-Grushin vector fieldsen_US
dc.subjectRemainder termen_US
dc.subjectTwo-weight Rellich inequalityen_US
dc.subjectWeighted Rellich inequalityen_US
dc.titleWeighted rellich type inequalities related to baouendi-grushin operatorsen_US
dc.typeArticleen_US

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