2025/04/27 by Dachun Yang, Wen Yuan, Yang, Dachun +3 · 1 citation
Mathematics · #35S05 #42B35 #46E40 #47A56 #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Primary 42B20 #Secondary 46E35
paper · pdf · doi:10.48550/arxiv.2504.19060
openalex publication_date 2025/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This article is a continuation of our work on generalized matrix-weighted Besov--Triebel--Lizorkin-type spaces with matrix A∞ weights. In this article, we establish the boundedness of pseudo-differential, trace, and Calderón--Zygmund operators on these spaces. The main tools involved in this article are the molecular and the wavelet characterizations of these spaces. Since generalized matrix-weighted Besov--Triebel--Lizorkin-type spaces include many classical function spaces such as matrix-weighted Besov--Triebel--Lizorkin spaces, all the results in this article are of wide generality.