Hardy-Hilbert type inequalities on homogeneous groups-An introduction and generalization to the kernel case
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.
Authors
- Lars‐Erik Persson (ORCID: https://orcid.org/0000-0002-5914-3247)
- Markos Fisseha Yimer (ORCID: https://orcid.org/0000-0002-0324-2561)
- Michael Ruzhansky (ORCID: https://orcid.org/0000-0001-8633-5570)
- Natasha Samko (ORCID: https://orcid.org/0000-0002-8595-4326)
- Tsegaye G. Ayele (ORCID: https://orcid.org/0000-0003-4358-1338)
Publication Details
- Journal
- Mathematical Inequalities & Applications
- Published
- 2025-01-01
- DOI
- https://doi.org/10.7153/mia-2025-28-16
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fonds Wetenschappelijk Onderzoek
- Universiteit Gent
- Engineering and Physical Sciences Research Council
- Bijzonder Onderzoeksfonds UGent