$The Hardy inequality and fractional Hardy inequality for the Dunkl Laplacian$

The Hardy inequality and fractional Hardy inequality for the Dunkl Laplacian

We prove the L p Hardy inequality and L p fractional Hardy inequality for the Dunkl Laplacian on ℝ N . Further, we prove the same kind of inequalities for a half-space and cone.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Israel journal of mathematics 2020-03, Vol.236 (1), p.247-278
Hauptverfasser:	Anoop, V. P., Parui, Sanjay
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Group Theory and Generalizations Half spaces Inequality Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We prove the L p Hardy inequality and L p fractional Hardy inequality for the Dunkl Laplacian on ℝ N . Further, we prove the same kind of inequalities for a half-space and cone.
ISSN:	0021-2172 1565-8511
DOI:	10.1007/s11856-020-1973-4