Jun Liu

collaborators

Showing math.CAShow all

4 papers · 1 filter

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\}_{…

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…

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

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

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