General weighted hardy type inequalities related to Baouendi-Grushin operators
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor and Francis Ltd.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we derive a sufficient condition on a pair of nonnegative weight functions ? and w in ?m+k so that the general weighted Hardy type inequality with a remainder term (Formula Presented) is the sub-elliptic gradient. It is worth emphasizing here that our unifying method may be readily used to recover most of the previously known sharp weighted Hardy and Heisenberg-Pauli-Weyl type inequalities as well as to construct other new inequalities with an explicit constant. Furthermore, we also obtain new results on two-weight Lp Hardy type inequalities with remainder terms on smooth bounded domains ? in ?m+k via a non-linear partial differential inequality. © 2017 Informa UK Limited, trading as Taylor & Francis Group.
Açıklama
Anahtar Kelimeler
Baouendi-Grushin vector fields, Heisenberg-Pauli-Weyl inequality, Remainder terms, Two-weight Hardy inequality, Weighted Hardy inequality
Kaynak
Complex Variables and Elliptic Equations
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
63
Sayı
3
