Hardy and rellich-type inequalities with remainders for baouendi-grushin vector fields

Küçük Resim Yok

Tarih

2015

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

Künye