arXiv subjects

Markos Fisseha Yimer

Publications and source records attributed to Markos Fisseha Yimer.

2 recordsLinked to original sources

arXiv2025

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.

math.FA↗

arXiv2025

Levin-Cochran-Lee inequalities and best constants on homogeneous groups

In this paper, we apply a direct method instead of a limit approach, for proving the Levin-Cochran-Lee inequalities. First, we state and prove Levin-Cochran-Lee type inequalities on a homogeneous group $\mathbb{G}$ with parameters $0<p\leq q<\infty$. Furthermore, for the case $p=q$, we prove the sharp inequalities with power weights and derive some other new inequalities.

math.FA↗