Wen Yuan

activity

20102026

most citedVariable Weak Hardy Spaces and Their Applications

101 citations · 502 across the 90 of their papers we have counts for

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10 papers · 1 filter

math.FA2025

Maz'ya--Shaposhnikova Representation of Quasi-Norms of Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type with Weak Reverse Doubling Property

Eiichi Nakai, Menghao Tang, Dachun Yang +2

Let $Y (X)$ be a ball quasi-Banach function space on the space of homogeneous type $(X, ρ, μ)$ satisfying some mild additional assumptions, $q \in (0, \infty)$ , and $…

math.FA2025

Variable Matrix-Weighted Besov Spaces

Dachun Yang, Wen Yuan, Zongze Zeng

In this article, using variable matrix $A_{p (\cdot), \infty}$ weights, we introduce the matrix-weighted variable Besov space $B_{p (\cdot), q (\cdot)}^{s (\cdot)} (W)$ and th…

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

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

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.FA2025

Matrix-Weighted Besov--Triebel--Lizorkin Spaces of Optimal Scale: Boundedness of Pseudo-Differential, Trace, and Calderón--Zygmund Operators

Dachun Yang, Wen Yuan, Mingdong Zhang

This article is a continuation of our work on generalized matrix-weighted Besov--Triebel--Lizorkin-type spaces with matrix $A_{\infty}$ weights. In this article, we estab…

math.FA2025

Matrix-Weighted Besov-Triebel-Lizorkin Spaces of Optimal Scale: Real-Variable Characterizations, Invariance on Integrable Index, and Sobolev-Type Embedding

Fan Bu, Dachun Yang, Wen Yuan +1

In this article, using growth functions we introduce generalized matrix-weighted Besov-Triebel-Lizorkin-type spaces with matrix $A_{\infty}$ weights. We first characteriz…

math.FA2025

Parabolic Extrapolation and Its Applications to Characterizing Parabolic BMO Spaces via Parabolic Fractional Commutators

Mingming Cao, Weiyi Kong, Dachun Yang +2

In this article, we establish the parabolic version of the celebrated Rubio de Francia extrapolation theorem. As applications, we obtain new characterizations of parabolic BMO-type…

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…