A unified approach to weighted Hardy type inequalities on Carnot groups
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Southwest Missouri State University
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We find a simple sufficient criterion on a pair of nonnegative weight functions V (x) and W (x) on a Carnot group G; so that the general weighted Lp Hardy type inequality (Equation presentted) is valid for any ? ? C? 0 (G) and p > 1: It is worth noting here that our unifying method may be readily used both to recover most of the previously known weighted Hardy and Heisenberg-Pauli-Weyl type inequalities as well as to construct other new inequalities with an explicit best constant on G: We also present some new results on two-weight Lp Hardy type inequalities with remainder terms on a bounded domain ? in G via a differential inequality.
Açıklama
Anahtar Kelimeler
Carnot groups, Heisenberg-Pauli-Weyl inequality, Two-weight Hardy inequality, Weighted Hardy inequality
Kaynak
Discrete and Continuous Dynamical Systems- Series A
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
37
Sayı
4
