T. Hytonen

activity

20072026

most citedSharp Reverse Hölder property for A_\infty weights on spaces of homogeneous type

31 citations · 221 across the 34 of their papers we have counts for

collaborators

Showing 2023Show all

3 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

Singular integrals in uniformly convex spaces

Tuomas Hytönen

We consider the action of finitely truncated singular integral operators on functions taking values in a Banach space. Such operators are bounded for any Banach space, but we show…

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

Singular integrals in uniformly convex spaces

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

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