Hardy-Hilbert type inequalities on homogeneous groups-An introduction and generalization to the kernel case
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912232061796352 |
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| author | Yimer, Markos Fisseha Persson, Lars Erik Ruzhansky, Michael Samko, Natasha Ayele, Tsegaye Gedif |
| author_facet | Yimer, Markos Fisseha Persson, Lars Erik Ruzhansky, Michael Samko, Natasha Ayele, Tsegaye Gedif |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09942 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hardy-Hilbert type inequalities on homogeneous groups-An introduction and generalization to the kernel case Yimer, Markos Fisseha Persson, Lars Erik Ruzhansky, Michael Samko, Natasha Ayele, Tsegaye Gedif Functional Analysis 26D10, 26D20, 12E30 G.1.9 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. |
| title | Hardy-Hilbert type inequalities on homogeneous groups-An introduction and generalization to the kernel case |
| topic | Functional Analysis 26D10, 26D20, 12E30 G.1.9 |
| url | https://arxiv.org/abs/2502.09942 |