5 papers · 1 filter
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…
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 weights. We first characteriz…
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 and be an -matrix weight, which in scalar case is exactly a Muckenhoupt weight. In this article, we introduce matrix-weighted Hardy spaces vi…
Besov--Triebel--Lizorkin-Type Spaces with Matrix Weights
Fan Bu, Tuomas Hytönen, Dachun Yang +1
Introduced by A. Volberg, matrix weights provide a suitable generalization of Muckenhoupt weights from the classical theory. In our previous work, we esta…
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…