Kömbe, İsmail2020-11-212020-11-2120150362-1588https://hdl.handle.net/11467/3602In this paper we study Hardy and Rellich-type inequalities and their improved versions for the Baouendi-Grushin vector fields ?? = (?x; |x|?y) where > 0, rx and ry are usual gradient operators in the variables x ? Rm and y ? Rk, respectively. We also obtain sharp constants for these inequalities. Furthermore, we prove a sharp uncertainty principle inequality for the Baouendi-Grushin vector fields. © 2015 University of Houston.eninfo:eu-repo/semantics/closedAccessBaouendi-Grushin vector fieldsBest constantsHardy inequalityRellich inequalityUncertainty principle inequalityArticle413849874Q4WOS:000365095900008Q42-s2.0-84946014915