Jun Liu

activity

20152021

most citedAnisotropic Hardy-Lorentz Spaces and Their Applications

65 citations · 76 across the 10 of their papers we have counts for

collaborators

10 papers

math.CA2021★ 1 cited

Fourier Transform of Anisotropic Mixed-norm Hardy Spaces with Applications to Hardy-Littlewood Inequalities

Jun Liu, Yaqian Lu, Mingdong Zhang

Let $p \in (0, 1]^{n}$ be a $n$ -dimensional vector and $A$ a dilation. Let $H_{A}^{p} (R^{n})$ denote the anisotropic mixed-norm Hardy space defined via the radial maxim…

math.FA2020

Molecular Characterizations of Variable Anisotropic Hardy Spaces with Applications to Boundedness of Calderón-Zygmund Operators

Jun Liu

Let $p (\cdot) : R^{n} \to (0, \infty]$ be a variable exponent function satisfying the globally log-Hölder continuous condition and $A$ a general expansive matrix on $\mathbb{R}…

math.CA2019

Real-Variable Characterizations of New Anisotropic Mixed-Norm Hardy Spaces

Long Huang, Jun Liu, Dachun Yang +1

Let $p \in (0, \infty)^{n}$ and $A$ be a general expansive matrix on $R^{n}$ . In this article, via the non-tangential grand maximal function, the authors first introduce th…

math.CA2018

Dual Spaces of Anisotropic Mixed-Norm Hardy Spaces

Long Huang, Jun Liu, Dachun Yang +1

Let $a := (a_{1}, \dots, a_{n}) \in [1, \infty)^{n}$ , $p := (p_{1}, \dots, p_{n}) \in (0, \infty)^{n}$ and $H_{a}^{p} (R^{n})$ be the anisotropic mixed-norm Hardy space assoc…

math.CA2018★ 1 cited

Atomic and Littlewood-Paley Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications

Long Huang, Jun Liu, Dachun Yang +1

Let $a := (a_{1}, \dots, a_{n}) \in [1, \infty)^{n}$ , $p := (p_{1}, \dots, p_{n}) \in (0, \infty)^{n}$ and $H_{a}^{p} (R^{n})$ be the anisotropic mixed-norm Hardy space assoc…

math.CA2017

Anisotropic Variable Hardy-Lorentz Spaces and Their Real Interpolation

Jun Liu, Dachun Yang, Wen Yuan

Let $p (\cdot) : R^{n} \to (0, \infty)$ be a variable exponent function satisfying the globally log-Hölder continuous condition, $q \in (0, \infty]$ and $A$ be a general expansive m…