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arXiv · 2502.09942

Hardy-Hilbert type inequalities on homogeneous groups-An introduction and generalization to the kernel case

Markos Fisseha Yimer·Lars Erik Persson·Michael Ruzhansky·Natasha Samko·Tsegaye Gedif Ayele
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Abstract

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.

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Markos Fisseha Yimer, Lars Erik Persson, Michael Ruzhansky, Natasha Samko, Tsegaye Gedif Ayele. 2025-02-14. Hardy-Hilbert type inequalities on homogeneous groups-An introduction and generalization to the kernel case. https://arxiv.org/abs/2502.09942

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