Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • apa.csl
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Hardy-hilbert type inequalities on homogeneous groups-an introduction and generalization to the kernel case
Addis Ababa University, Ethiopia.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (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.
Show others and affiliations
2025 (English)In: Mathematical Inequalities & Applications, ISSN 1331-4343, E-ISSN 1848-9966, Vol. 28, no 2, p. 239-255Article in journal (Refereed) 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.

Place, publisher, year, edition, pages
ELEMENT , 2025. Vol. 28, no 2, p. 239-255
Keywords [en]
Inequalities, Hardy's inequality, Hardy-Hilberts inequality, hyperbolic spaces, homogeneous groups, Cartan-Hadamard manifolds.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
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
Available from: 2025-06-03 Created: 2025-06-03 Last updated: 2025-10-16Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records

Persson, Lars-Erik

Search in DiVA

By author/editor
Persson, Lars-Erik
By organisation
Department of Mathematics and Computer Science (from 2013)
In the same journal
Mathematical Inequalities & Applications
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 107 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • apa.csl
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf