A general approach to weighted Rellich type inequalities on Carnot groups
Küçük Resim Yok
Tarih
2018
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer-Verlag Wien
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We 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.
Açıklama
Anahtar Kelimeler
Carnot groups, Remainder term, Weighted Rellich inequality
Kaynak
Monatshefte fur Mathematik
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
186
Sayı
1
