Yiqun Chen

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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.FA2025

Matrix-Weighted Campanato Spaces: Duality and Calderón--Zygmund Operators

Yiqun Chen, Dachun Yang, Wen Yuan

Let $p \in (0, \infty)$ , $q \in [1, \infty)$ , $s \in Z_{+}$ , and $W$ be an $A_{p}$ -matrix weight, which in the scalar case is exactly a Muckenhoupt $A_{m a x {1, p}}$ weight. In this ar…

math.FA2025

Maximal Function and Atomic Characterizations of Matrix-Weighted Hardy Spaces with Their Applications to Boundedness of Calderón--Zygmund Operators

Fan Bu, Yiqun Chen, Dachun Yang +1

Let $p \in (0, 1]$ and $W$ be an $A_{p}$ -matrix weight, which in scalar case is exactly a Muckenhoupt $A_{1}$ weight. In this article, we introduce matrix-weighted Hardy spaces $H_{W}^{p}$ vi…