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

collaborators

Showing 2023Show all

9 papers · 1 filter

math.FA2023

Matrix-Weighted Besov-Type and Triebel--Lizorkin-Type Spaces III: Characterizations of Molecules and Wavelets, Trace Theorems, and Boundedness of Pseudo-Differential Operators and Calderón--Zygmund Operators

Fan Bu, Tuomas Hytönen, Dachun Yang +1

This is the last one of three successive articles by the authors on matrix-weighted Besov-type and Triebel--Lizorkin-type spaces $B ˙_{p, q}^{s, τ} (W)$ and $F ˙_{p, q}^{s, τ} (W)$ …

math.FA2023

Matrix-Weighted Besov-Type and Triebel--Lizorkin-Type Spaces II: Sharp Boundedness of Almost Diagonal Operators

Fan Bu, Tuomas Hytönen, Dachun Yang +1

This article is the second one of three successive articles of the authors on the matrix-weighted Besov-type and Triebel--Lizorkin-type spaces. In this article, we obtain the sharp…

math.FA2023

New Characterizations and Properties of Matrix $A_{\infty}$ Weights

Fan Bu, Tuomas Hytönen, Dachun Yang +1

We provide several new characterizations of $A_{p, \infty}$ -matrix weights, originally introduced by A. Volberg as matrix-valued substitutes of the classical $A_{\infty}$ weights. In…

math.FA2023

A unified approach to self-improving property via K-functionals

Oscar Dominguez, Yinqin Li, Sergey Tikhonov +2

In this paper we obtain new quantitative estimates that improve the classical inequalities: Poincaré-Ponce, Gaussian Sobolev, and John-Nirenberg. Our method is based on the K-funct…

math.FA2023★ 1 cited

Extension Theorem and Bourgain--Brezis--Mironescu-Type Characterization of Ball Banach Sobolev Spaces on Domains

Chenfeng Zhu, Dachun Yang, Wen Yuan

Let $Ω \subset R^{n}$ be a bounded $(ε, \infty)$ -domain with $ε \in (0, 1]$ , $X (R^{n})$ a ball Banach function space satisfying some extra mild assumpti…

math.FA2023

Brezis--Seeger--Van Schaftingen--Yung-Type Characterization of Homogeneous Ball Banach Sobolev Spaces and Its Applications

Chenfeng Zhu, Dachun Yang, Wen Yuan

Let $γ \in R ∖ {0}$ and $X (R^{n})$ be a ball Banach function space satisfying some extra mild assumptions. Assume that $Ω = R^{n}$ or $Ω\subset\mathbb{R}…

math.FA2023

Hardy Spaces Associated with Non-Negative Self-Adjoint Operators and Ball Quasi-Banach Function Spaces on Doubling Metric Measure Spaces and Their Applications

Xiaosheng Lin, Dachun Yang, Sibei Yang +1

Let $(X, d, μ)$ be a doubling metric measure space in the sense of R. R. Coifman and G. Weiss, $L$ a non-negative self-adjoint operator on $L^{2} (X)$ satisfying the…

math.FA2023

Generalized Brezis--Van Schaftingen--Yung Formulae and Their Applications in Ball Banach Sobolev Spaces

Chenfeng Zhu, Dachun Yang, Wen Yuan

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 operator…

math.FA2023

Matrix-Weighted Besov-Type and Triebel--Lizorkin-Type Spaces I: $A_{p}$ -Dimensions of Matrix Weights and $φ$ -Transform Characterizations

Fan Bu, Tuomas P. Hytönen, Dachun Yang +1

Let $s \in R$ , $q \in (0, \infty]$ , and $τ \in [0, \infty)$ . It is well known that Besov-type spaces $B ˙_{p, q}^{s, τ}$ with $p \in (0, \infty]$ and Triebel--Lizorkin-type space…

Matrix-Weighted Besov-Type and Triebel--Lizorkin-Type Spaces III: Characterizations of Molecules and Wavelets, Trace Theorems, and Boundedness of Pseudo-Differential Operators and Calderón--Zygmund Operators

Matrix-Weighted Besov-Type and Triebel--Lizorkin-Type Spaces II: Sharp Boundedness of Almost Diagonal Operators

New Characterizations and Properties of Matrix A∞​ Weights

A unified approach to self-improving property via K-functionals

Extension Theorem and Bourgain--Brezis--Mironescu-Type Characterization of Ball Banach Sobolev Spaces on Domains

Brezis--Seeger--Van Schaftingen--Yung-Type Characterization of Homogeneous Ball Banach Sobolev Spaces and Its Applications

Hardy Spaces Associated with Non-Negative Self-Adjoint Operators and Ball Quasi-Banach Function Spaces on Doubling Metric Measure Spaces and Their Applications

Generalized Brezis--Van Schaftingen--Yung Formulae and Their Applications in Ball Banach Sobolev Spaces

Matrix-Weighted Besov-Type and Triebel--Lizorkin-Type Spaces I: Ap​-Dimensions of Matrix Weights and φ-Transform Characterizations

New Characterizations and Properties of Matrix $A_{\infty}$ Weights

Matrix-Weighted Besov-Type and Triebel--Lizorkin-Type Spaces I: $A_{p}$ -Dimensions of Matrix Weights and $φ$ -Transform Characterizations