Hardy-Hilbert type inequalities on homogeneous groups-An introduction and generalization to the kernel case
Functional Analysis
2025-02-17 v1
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.
Cite
@article{arxiv.2502.09942,
title = {Hardy-Hilbert type inequalities on homogeneous groups-An introduction and generalization to the kernel case},
author = {Markos Fisseha Yimer and Lars Erik Persson and Michael Ruzhansky and Natasha Samko and Tsegaye Gedif Ayele},
journal= {arXiv preprint arXiv:2502.09942},
year = {2025}
}
Comments
15 pages