Extension of Hardy–Littlewood–Sobolev Inequalities for Riesz Potentials on Hypergroups

Extension of Hardy–Littlewood–Sobolev Inequalities for Riesz Potentials on Hypergroups

We establish in this paper the Hardy–Littlewood–Sobolev inequalities for the Riesz potentials on Morrey spaces over commutative hypergroups. As a consequence, we are also able to get Olsen-type inequality on the same spaces. Here, the condition of upper Ahlfors n -regular by identity is assumed to o...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mediterranean journal of mathematics 2020-12, Vol.17 (6), Article 203
Hauptverfasser: Sihwaningrum, Idha, Maryani, Sri, Gunawan, Hendra
Format: Artikel
Sprache:eng
Schlagworte:
Inequalities
Mathematics
Mathematics and Statistics
Mathematics, Applied
Physical Sciences
Science & Technology
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We establish in this paper the Hardy–Littlewood–Sobolev inequalities for the Riesz potentials on Morrey spaces over commutative hypergroups. As a consequence, we are also able to get Olsen-type inequality on the same spaces. Here, the condition of upper Ahlfors n -regular by identity is assumed to obtain the inequalities.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-020-01645-w