Dachun Yang

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20242026

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19 papers · 1 filter

math.FA2026

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

Xiaosheng Lin, Dachun Yang, Wen Yuan +1

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

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. HytÃ¶nen, 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 HytÃ¶nen +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 CalderÃ³n-Type Reproducing Formula, Atomic Characterization, and Product CalderÃ³n--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 $I ¨ _{i}$ . Also let $I^\cdot_{i}$ be the smoothness index of the Auscher…

math.FA2026

Matrix-Weighted PoincarÃ©-Type Inequalities with Applications to Logarithmic HajÅasz--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 HajÅasz grad…

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

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 CalderÃ³n-Type Reproducing Formula, Atomic Characterization, and Product CalderÃ³n--Zygmund Operators

Matrix-Weighted PoincarÃ©-Type Inequalities with Applications to Logarithmic HajÅasz--Besov Spaces on Spaces of Homogeneous Type

Variable Muckenhoupt $A_{\infty}$ Weights

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

Matrix-Weighted PoincarÃ©-Type Inequalities with Applications to Logarithmic HajÅasz--Besov Spaces on Spaces of Homogeneous Type