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

Monotonicity of the imaginary part of the Riemann $I^¾$ function in the region $S$

Jun Liu

This paper proves that the imaginary part of the Riemann $I^¾$ function is strictly monotonic with $b$ in the region $S = {t ∣ t = a + bi, 0 \leq a \leq 9.508, - 1/2 < b < 1/2}$ . That leads…

math.CA2025

Some sets of first category in product CalderÃ³n-Lozanovski\uÄ± spaces on hypergroups

Jun Liu, Yaqian Lu, Chi Zhang

Let $K$ be a locally compact hypergroup with a left Haar measure $I^¼$ and $I^c ◯$ be a Banach ideal of $I^¼$ -measurable complex-valued functions on $K$ . For Young functions $\{Ï_i\}_{…

Weakly nilpotent hypergroups

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

Monotonicity of the imaginary part of the Riemann I^¾ function in the region S

Some sets of first category in product CalderÃ³n-Lozanovski\uÄ± spaces on hypergroups

Monotonicity of the imaginary part of the Riemann $I^¾$ function in the region $S$