Yangyang Zhang

activity

20182026

most citedWeak Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces II: Littlewood--Paley Characterizations and Real Interpolation

2 citations · 5 across the 13 of their papers we have counts for

collaborators

Showing math.CAShow all

11 papers · 1 filter

math.CA2026

Capacitary-Distance Hardy Inequality

Yiqun Chen, Jie Xiao, Dachun Yang +2

Let $n \geq 3$ , $Ω \subset R^{n}$ be an open set, $F := R^{n} ∖ Ω$ , and $α \in (0, \infty)$ . For any $x \in Ω$ , we define the capacitary distance \begin{align*} d_α(x) := \in…

math.CA2026

$Γ$ -Convergence of Weak-Type Nonlocal Functionals on Bounded Domains

Xiaosheng Lin, Dachun Yang, Sibei Yang +2

Let $N \geq 1$ , $p \in [1, \infty)$ , $γ \in (0, \infty)$ , and $Ω \subset R^{N}$ be a bounded open interval when $N = 1$ or a bounded Lipschitz domain when $N \geq 2$ . For any $λ\in(0,\infty)…

math.CA2024

Sharp Weighted Cohen--Dahmen--Daubechies--DeVore Inequality with Applications to (Weighted) Critical Sobolev Spaces, Gagliardo--Nirenberg Inequalities, and Muckenhoupt Weights

Yinqin Li, Dachun Yang, Wen Yuan +2

In this article, we establish a quantitative weighted variant of a far-reaching inequality obtained by A. Cohen, W. Dahmen, I. Daubechies, and R. DeVore in 2003, whose dependence o…

math.CA2022

Mixed-Norm Herz Spaces and Their Applications in Related Hardy Spaces

Yirui Zhao, Dachun Yang, Yangyang Zhang

In this article, the authors introduce a class of mixed-norm Herz spaces, $E ˙_{q}^{α, p} (R^{n})$ , which is a natural generalization of mixed Lebesgue s…

math.CA2021

Boundedness of Calderón--Zygmund Operators on Special John--Nirenberg--Campanato and Hardy-Type Spaces via Congruent Cubes

Hongchao Jia, Jin Tao, Dachun Yang +2

Let $p \in [1, \infty]$ , $q \in (1, \infty)$ , $s \in Z_{+} := N \cup {0}$ , and $α \in R$ . In this article, the authors introduce a reasonable version $T$ of…

math.CA2020

Real-Variable Characterizations of Local Orlicz-Slice Hardy Spaces with Application to Bilinear Decompositions

Yangyang Zhang, Dachun Yang, Wen Yuan

Recently, both the bilinear decompositions $h^{1} (R^{n}) \times bmo (R^{n}) \subset L^{1} (R^{n}) + h_{*}^{Φ} (R^{n})$ and $h^1(\mathbb{R}^n) \times \m…