Jun Liu

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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…