Long Huang

activity

20182023

most citedOn Function Spaces with Mixed Norms --- A Survey

2 citations · 3 across the 7 of their papers we have counts for

collaborators

7 papers

math.FA2023

Sharp Poincaré--Sobolev Inequalities of Choquet--Lorentz Integrals with Respect to Hausdorff Contents on Bounded John Domains

Long Huang, Yuanshou Cao, Dachun Yang +1

Let $Ω$ be a bounded John domain in $R^{n}$ with $n \geq 2$ , and let $H_{\infty}^{δ}$ denote the Hausdorff content of dimension $δ \in (0, n]$ . In this article, the auth…

math.FA2022

Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko

Yinqin Li, Dachun Yang, Long Huang

This book is devoted to exploring properties of generalized Herz spaces and establishing a complete real-variable theory of Hardy spaces associated with local and global generalize…

math.FA2021

Anisotropic Variable Campanato-Type Spaces and Their Carleson Measure Characterizations

Long Huang, Xiaofeng Wang

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…

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.CA2019★ 2 cited

On Function Spaces with Mixed Norms --- A Survey

Long Huang, Dachun Yang

The targets of this article are threefold. The first one is to give a survey on the recent developments of function spaces with mixed norms, including mixed Lebesgue spaces, iterat…

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…