Fan Bu

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20232026

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4 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

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

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