SOME SHARP RELLICH TYPE INEQUALITIES ON NILPOTENT GROUPS AND APPLICATION

We prove some Rellich type inequalities for the sub-Laplacian on Carnot nilpotent groups. Using the same method, we obtain some analogous inequalities for the Heisenberg-Greiner operators. In most cases, the constants we obtained are optimal.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Acta mathematica scientia 2013, Vol.33 (1), p.59-74
1. Verfasser:	连保胜
Format:	Artikel
Sprache:	eng
Schlagworte:	26D10 35H10 Carnot group CH型 Constants Heisenberg-Greiner operators Inequalities Laplace算子 Mathematical analysis Operators Optimization Rellich inequality 不等式幂零群应用程序海森堡运营商
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We prove some Rellich type inequalities for the sub-Laplacian on Carnot nilpotent groups. Using the same method, we obtain some analogous inequalities for the Heisenberg-Greiner operators. In most cases, the constants we obtained are optimal.
ISSN:	0252-9602 1572-9087
DOI:	10.1016/S0252-9602(12)60194-5