A general approach to weighted Rellich type inequalities on Carnot groups

Basit Öğe Kaydı
dc.contributor.authorGoldstein, Jerome A.
dc.contributor.authorKömbe, İsmail
dc.contributor.authorYener, Abdullah
dc.date.accessioned2020-11-21T15:53:15Z
dc.date.available2020-11-21T15:53:15Z
dc.date.issued2018en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractWe give a simple sufficient criterion on a pair of nonnegative weight functions a and b on a Carnot group G, so that the following general weighted Lp Rellich type inequality?Ga|?Gu|pdx??Gb|u|pdxholds for every u?C0?(G) and p> 1. It is worthwhile to notice that our method easily derives previously known weighted Rellich type inequalities with a sharp constant in a more adequate fashion and also enables us to obtain new ones. We also present a sharp Lp Rellich type inequality that connects first to second order derivatives and some new two-weight Rellich type inequalities with remainders on bounded domains ? in G via a differential inequality and the improved two-weight Hardy inequality in Goldstein et al. (Discret Contin Dyn Syst 37:2009–2021, 2017). © 2017, Springer-Verlag Wien.en_US
dc.identifier.doi10.1007/s00605-017-1060-zen_US
dc.identifier.endpage72en_US
dc.identifier.issn0026-9255
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85019716164en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage49en_US
dc.identifier.urihttps://doi.org/10.1007/s00605-017-1060-z
dc.identifier.urihttps://hdl.handle.net/11467/3517
dc.identifier.volume186en_US
dc.identifier.wosWOS:000430395800004en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer-Verlag Wienen_US
dc.relation.ispartofMonatshefte fur Mathematiken_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCarnot groupsen_US
dc.subjectRemainder termen_US
dc.subjectWeighted Rellich inequalityen_US
dc.titleA general approach to weighted Rellich type inequalities on Carnot groupsen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu