Yangyang Zhang

activity

20182026

most citedBilinear Decomposition and Divergence-Curl Estimates on Products Related to Local Hardy Spaces and Their Dual Spaces

24 citations · 52 across the 22 of their papers we have counts for

collaborators

23 papers

math.CA2026

Capacitary Trapping and Brownian Escape: A Sharp Hardy Principle for Absorbing Media

Yiqun Chen, Jie Xiao, Dachun Yang +2

We study Brownian motion killed upon exiting arbitrary open sets $Ω \subset R^{n}$ , $n \in [3, \infty) \cap N$ . Let $α \in (0, 1]$ . The infimal radius $d_{α} (x)$ at which the abs…

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.FA2026

Compactness and Its Applications of Sobolev Spaces Associated with Ball Banach Function Spaces

Xiaosheng Lin, Dachun Yang, Wen Yuan +1

Let $N \in N \cap [2, \infty),$ $Ω$ be a bounded Lipschitz domain in $R^{N}$ , and $X (Ω)$ be a ball Banach function space on $Ω.$ In this article, under some mild assumpt…

math.AP2026

A Counterexample to the Necessity of the Vanishing Carleson Condition for VMO Poisson Kernels

Xiaosheng Lin, Dachun Yang, Sibei Yang +2

In [Problem 3.2.23, CBMS Regional Conference Series in Mathematics 83, 1994], Kenig asked whether the vanishing Carleson condition is the necessary and sufficient for the logarithm…

math.AP2026

A Counterexample to Kenig's Interpolation Problem for Sobolev Spaces with Zero Boundary Conditions

Xiaosheng Lin, Dachun Yang, Sibei Yang +2

Let $n \in N \cap [2, \infty)$ . In this article, we show that there exists a bounded $C^{1}$ domain $Ω \subset R^{n}$ such that, for any given $s\in(1,2)\setminus\{\frac32\}…

math.FA2025

Fractional Heat Semigroup Characterization of Distances from Functions in Lipschitz Spaces to Their Subspaces

Feng Dai, Eero Saksman, Dachun Yang +2

Let $Λ_{s}$ denote the inhomogeneous Lipschitz space of order $s \in (0, \infty)$ on $R^{n}$ . This article characterizes the distance $d(f, V)_{Λ_s}: = \inf_{g\in V} \|f-g\|_{Λ_s…

math.FA2025

Difference and Wavelet Characterizations of Distances from Functions in Lipschitz Spaces to Their Subspaces

Feng Dai, Eero Saksman, Dachun Yang +2

Let $Λ_{s}$ denote the Lipschitz space of order $s \in (0, \infty)$ on $R^{n}$ , which consists of all $f \in C \cap L^{\infty}$ such that, for some constant $L\in(0,\infty)…

math.FA2025

Sharp Brezis--Seeger--Van Schaftingen--Yung Formulae for Higher-Order Gradients in Ball Banach Function Spaces

Pingxu Hu, Yinqin Li, Dachun Yang +2

Let $X$ be a ball Banach function space on $R^{n}$ , $k \in N$ , $h \in R^{n}$ , and $Δ_{h}^{k}$ denote the $k$ {\rm th} order difference. In this article, under some mi…

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.FA2022

Real-Variable Characterizations and Their Applications of Matrix-Weighted Triebel--Lizorkin Spaces

Qi Wang, Dachun Yang, Yangyang Zhang

Let $α \in R$ , $q \in (0, \infty]$ , $p \in (0, \infty)$ , and $W$ be an $A_{p} (R^{n}, C^{m})$ -matrix weight. In this article, the authors characterize the matrix-weighted…

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.FA2021

Poincaré Inequality Meets Brezis--Van Schaftingen--Yung Formula on Metric Measure Spaces

Feng Dai, Xiaosheng Lin, Dachun Yang +2

Let $(X, ρ, μ)$ be a metric measure space of homogeneous type which supports a certain Poincaré inequality. Denote by the symbol $\mathcal{C}_{\mathrm{c}}^\ast(\mathcal{X…

math.CA2021★ 2 cited

Brezis--Van Schaftingen--Yung Formulae in Ball Banach Function Spaces with Applications to Fractional Sobolev and Gagliardo--Nirenberg Inequalities

Feng Dai, Xiaosheng Lin, Dachun Yang +2

Let $X$ be a ball Banach function space on $R^{n}$ . In this article, under some mild assumptions about both $X$ and the boundedness of the Hardy--Littlewood maximal operato…

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.CA2021★ 1 cited

Boundedness of Fractional Integrals 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 first find a reasonable version $\widetilde{I}_β…

math.CA2021

Estimates for Littlewood--Paley Operators on Ball Campanato-Type Function Spaces

Hongchao Jia, Dachun Yang, Wen Yuan +1

Let $X$ be a ball quasi-Banach function space on $R^{n}$ and assume that the Hardy--Littlewood maximal operator satisfies the Fefferman--Stein vector-valued maximal inequal…

math.FA2021★ 2 cited

Compactness Characterizations of Commutators on Ball Banach Function Spaces

Jin Tao, Dachun Yang, Wen Yuan +1

Let $X$ be a ball Banach function space on $R^{n}$ . Let $Ω$ be a Lipschitz function on the unit sphere of $R^{n}$ ,which is homogeneous of degree zero and has mean v…

math.CA2020★ 20 cited

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…

math.CA2020★ 24 cited

Bilinear Decomposition and Divergence-Curl Estimates on Products Related to Local Hardy Spaces and Their Dual Spaces

Yangyang Zhang, Dachun Yang, Wen Yuan

Let $p \in (0, 1)$ , $α := 1/ p - 1$ and, for any $τ \in [0, \infty)$ , $Φ_{p} (τ) := τ / (1 + τ^{1 - p})$ . Let $H^{p} (R^{n})$ , $h^{p} (R^{n})$ and $Λ_{n α} (R^{n})$ be, respectively, the H…

math.CA2019★ 1 cited

Littlewood-Paley Characterizations of Hardy-type Spaces Associated with Ball Quasi-Banach Function Spaces

Der-Chen Chang, Songbai Wang, Dachun Yang +1

Let $X$ be a ball quasi-Banach function space on $R^{n}$ . In this article, assuming that the powered Hardy--Littlewood maximal operator satisfies some Fefferman--Stein vect…

math.CA2019★ 2 cited

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

Songbai Wang, Dachun Yang, Wen Yuan +1

Let $X$ be a ball quasi-Banach function space on $R^{n}$ . In this article, assuming that the powered Hardy--Littlewood maximal operator satisfies some Fefferman--Stein vect…

math.CA2019

Weak Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces I: Decompositions with Applications to Boundedness of Calderón--Zygmund Operators

Yangyang Zhang, Songbai Wang, Dachun Yang +1

Let $X$ be a ball quasi-Banach function space on $R^{n}$ . In this article, the authors introduce the weak Hardy-type space $W H_{X} (R^{n})$ , associated with $X$ , via t…

math.CA2018

Real-Variable Characterizations of Orlicz-Slice Hardy Spaces

Yangyang Zhang, Dachun Yang, Wen Yuan +1

In this article, the authors first introduce a class of Orlicz-slice spaces which generalize the slice spaces recently studied by P. Auscher et al. Based on these Orlicz-slice spac…

Capacitary Trapping and Brownian Escape: A Sharp Hardy Principle for Absorbing Media

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

Compactness and Its Applications of Sobolev Spaces Associated with Ball Banach Function Spaces

A Counterexample to the Necessity of the Vanishing Carleson Condition for VMO Poisson Kernels

A Counterexample to Kenig's Interpolation Problem for Sobolev Spaces with Zero Boundary Conditions

Fractional Heat Semigroup Characterization of Distances from Functions in Lipschitz Spaces to Their Subspaces

Difference and Wavelet Characterizations of Distances from Functions in Lipschitz Spaces to Their Subspaces

Sharp Brezis--Seeger--Van Schaftingen--Yung Formulae for Higher-Order Gradients in Ball Banach Function Spaces

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

Real-Variable Characterizations and Their Applications of Matrix-Weighted Triebel--Lizorkin Spaces

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

Poincaré Inequality Meets Brezis--Van Schaftingen--Yung Formula on Metric Measure Spaces

Brezis--Van Schaftingen--Yung Formulae in Ball Banach Function Spaces with Applications to Fractional Sobolev and Gagliardo--Nirenberg Inequalities

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

Boundedness of Fractional Integrals on Special John--Nirenberg--Campanato and Hardy-Type Spaces via Congruent Cubes

Estimates for Littlewood--Paley Operators on Ball Campanato-Type Function Spaces

Compactness Characterizations of Commutators on Ball Banach Function Spaces

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

Bilinear Decomposition and Divergence-Curl Estimates on Products Related to Local Hardy Spaces and Their Dual Spaces

Littlewood-Paley Characterizations of Hardy-type Spaces Associated with Ball Quasi-Banach Function Spaces

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

Weak Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces I: Decompositions with Applications to Boundedness of Calderón--Zygmund Operators

Real-Variable Characterizations of Orlicz-Slice Hardy Spaces

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