Jun Liu

collaborators

4 papers

math.GR2025

Weakly nilpotent hypergroups

Chi Zhang, Jun Liu, Dengyin Wang

In this paper, we introduce the weakly nilpotent hypergroups with giving some new properties, and then establish several structural characterizations of these hypergroups. Some res…

math.CA2025

Time-frequency representations on Lorentz spaces over locally compact Abelian groups

Jun Liu, Yaqian Lu, Xianjie Yan +1

Let $G$ be a locally compact Abelian group with a fixed Haar measure and, denote by $G$ its dual group. In this article, the authors obtain various boundedness of the sho…

math.CA2025

Some sets of first category in product Calderón-Lozanovski\uı spaces on hypergroups

Jun Liu, Yaqian Lu, Chi Zhang

Let $K$ be a locally compact hypergroup with a left Haar measure $μ$ and $Ω$ be a Banach ideal of $μ$ -measurable complex-valued functions on $K$ . For Young functions $\{φ_i\}_{i=1,…

math.CA2024

A characterization of wavelet sets on Vilenkin groups with its application to construction of MRA wavelets

Jun Liu, Chi Zhang

Let $G$ be a Vilenkin group. In 2008, Y. A. Farkov constructed wavelets on $G$ via the multiresolution analysis method. In this article, a characterization of wavelet sets on $G$ i…