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

2025/02/14 by Markos Fisseha Yimer, Yimer, Markos Fisseha, Lars Erik Persson +7
Mathematics · #12E30 #26D10 #26D20 #Advanced Harmonic Analysis Research #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #G.1.9 #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2502.09942

openalex publication_date 2025/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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