Hardy and rellich-type inequalities with remainders for baouendi-grushin vector fields
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Houston
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Baouendi-Grushin vector fields, Best constants, Hardy inequality, Rellich inequality, Uncertainty principle inequality
Kaynak
Houston Journal of Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q4
Cilt
41
Sayı
3