Dachun Yang

activity

20232026

most citedParabolic Muckenhoupt Weights Characterized by Parabolic Fractional Maximal and Integral Operators with Time Lag

4 citations · 4 across the 25 of their papers we have counts for

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Showing 2026Show all

13 papers · 1 filter

math.CA2026

Real-Variable Characterizations and Their Applications of Anisotropic Besov Spaces with Matrix $A_{\infty}$ Weights

Fan Bu, Shuaijun Feng, Qingying Xue +2

Let $α \in R$ , $p \in (0, \infty)$ , and $q \in (0, \infty]$ . In this article, we develop a theory of matrix-weighted anisotropic Besov spaces associated with an expansive matrix $…

math.AP2026

Stability for the Affine Sobolev Inequality and its Critical Points for $p \geq 2$

Rupert L. Frank, Yinqin Li, Dachun Yang

We prove stability for the affine Sobolev inequality for exponents $p \geq 2$ with best possible norm and best possible stability exponent. We also show a corresponding result for c…

math.CA2026

Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target Spaces

Pingxu Hu, Yinqin Li, Dachun Yang +1

We establish two pointwise estimates for fractional difference operators, tracking explicitly the dependence of the constants on the smoothness index $s \in (0, 1)$ . Using these, with…

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.FA2026

Variable Muckenhoupt $A_{\infty}$ Weights

Dachun Yang, Wen Yuan, Zongze Zeng

In this article, with introducing concepts of variable scalar $A_{p (\cdot), \infty}$ weights and variable matrix $A_{p (\cdot), \infty}$ weights, we seek a compreh…

math.FA2026

Real-variable theory of function spaces with operator-valued $A_{p}$ weights in Banach spaces

Tuomas P. Hytönen, Yinqin Li, Dachun Yang +1

While the theory of matrix-weighted function spaces is well established, the majority of previous results in the infinite-dimensional operator-valued setting deal with "no go" theo…

math.FA2026

Real-variable theory of matrix-weighted multi-parameter Besov--Triebel--Lizorkin-type spaces

Fan Bu, Yiqun Chen, Tuomas Hytönen +2

We develop a comprehensive theory for a general class of multi-parameter function spaces of Besov-Triebel-Lizorkin type, with a matrix weight. We prove the equivalence of different…

math.FA2026

Product Hardy Spaces on Spaces of Homogeneous Type: Discrete Product Calderón-Type Reproducing Formula, Atomic Characterization, and Product Calderón--Zygmund Operators

Ziyi He, Dachun Yang, Taotao Zheng

Let $i \in {1, 2}$ and $X_{i}$ be a space of homogeneous type in the sense of Coifman and Weiss with the upper dimension $ω_{i}$ . Also let $η_{i}$ be the smoothness index of the Auscher--…

math.FA2026

Matrix-Weighted Poincaré-Type Inequalities with Applications to Logarithmic Hajłasz--Besov Spaces on Spaces of Homogeneous Type

Ziwei Li, Dachun Yang, Wen Yuan

Let $X$ be a space of homogeneous type. In this article, based on the reducing operators of matrix $A_{p}$ -weights, the authors introduce the vector-valued Hajłasz gradi…

math.AP2026

One-Sided and Parabolic BLO Spaces with Time Lag and Their Applications to Muckenhoupt $A_{1}$ Weights and Doubly Nonlinear Parabolic Equations

Weiyi Kong, Dachun Yang, Wen Yuan

In this article, we first introduce the one-sided BLO space $BLO^{+} (R)$ and characterize it, respectively, in terms of the one-sided Muckenhoupt class $A_1^+(\math…

math.FA2026

A Sharp Localized Weighted Inequality Related to Gagliardo and Sobolev Seminorms and Its Applications

Pingxu Hu, Yinqin Li, Dachun Yang +1

In this article, we establish a nearly sharp localized weighted inequality related to Gagliardo and Sobolev seminorms, respectively, with the sharp $A_{1}$ -weight constant or with th…

Real-Variable Characterizations and Their Applications of Anisotropic Besov Spaces with Matrix A∞​ Weights

Stability for the Affine Sobolev Inequality and its Critical Points for p≥2

Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target Spaces

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

Variable Muckenhoupt A∞​ Weights

Real-variable theory of function spaces with operator-valued Ap​ weights in Banach spaces

Real-variable theory of matrix-weighted multi-parameter Besov--Triebel--Lizorkin-type spaces

Product Hardy Spaces on Spaces of Homogeneous Type: Discrete Product Calderón-Type Reproducing Formula, Atomic Characterization, and Product Calderón--Zygmund Operators

Matrix-Weighted Poincaré-Type Inequalities with Applications to Logarithmic Hajłasz--Besov Spaces on Spaces of Homogeneous Type

One-Sided and Parabolic BLO Spaces with Time Lag and Their Applications to Muckenhoupt A1​ Weights and Doubly Nonlinear Parabolic Equations

A Sharp Localized Weighted Inequality Related to Gagliardo and Sobolev Seminorms and Its Applications

Real-Variable Characterizations and Their Applications of Anisotropic Besov Spaces with Matrix $A_{\infty}$ Weights

Stability for the Affine Sobolev Inequality and its Critical Points for $p \geq 2$

Variable Muckenhoupt $A_{\infty}$ Weights

Real-variable theory of function spaces with operator-valued $A_{p}$ weights in Banach spaces

One-Sided and Parabolic BLO Spaces with Time Lag and Their Applications to Muckenhoupt $A_{1}$ Weights and Doubly Nonlinear Parabolic Equations