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Hardy-hilbert type inequalities on homogeneous groups-an introduction and generalization to the kernel case
Addis Ababa University, Ethiopia.
Karlstads universitet, Fakulteten för hälsa, natur- och teknikvetenskap (from 2013), Institutionen för matematik och datavetenskap (from 2013). Uppsala University, Sweden; UiT Arctic University of Norway, Norway.ORCID-id: 0000-0002-5914-3247
University of Ghent, Belgium.
Queen Mary University of London, England.
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2025 (engelsk)Inngår i: Mathematical Inequalities & Applications, ISSN 1331-4343, E-ISSN 1848-9966, Vol. 28, nr 2, s. 239-255Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

There is a lot of information available concerning Hardy-Hilbert type inequalities in one or more dimensions. In this paper we introduce the development of such inequalities on homogeneous groups. Moreover, we point out a unification of several of the Hardy-Hilbert type inequalities in the classical case to a general kernel case. Finally, we generalize these results to the homogeneous group case.

sted, utgiver, år, opplag, sider
ELEMENT , 2025. Vol. 28, nr 2, s. 239-255
Emneord [en]
Inequalities, Hardy's inequality, Hardy-Hilberts inequality, hyperbolic spaces, homogeneous groups, Cartan-Hadamard manifolds.
HSV kategori
Forskningsprogram
Matematik
Identifikatorer
URN: urn:nbn:se:kau:diva-104621DOI: 10.7153/mia-2025-28-16ISI: 001493472100001Scopus ID: 2-s2.0-105010944229OAI: oai:DiVA.org:kau-104621DiVA, id: diva2:1963606
Tilgjengelig fra: 2025-06-03 Laget: 2025-06-03 Sist oppdatert: 2025-10-16bibliografisk kontrollert

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