3 papers
math.FA2026
Equivalent norms and -transform of matrix-weighted anisotropic Besov-type and Triebel-Lizorkin-type spaces
Tengfei Bai, Pengfei Guo, Jingshi Xu
We introduce matrix-weighted anisotropic Besov-type and Triebel-Lizorkin-type spaces associated with an expansive matrix . Inspired by the $\A_p$-dimensions of matrix weight of…
math.FA2024
Precompactness in matrix weighted Bourgain-Morrey spaces
Tengfei Bai, Jingshi Xu
In this paper, we introduce matrix weighted Bourgain-Morrey spaces and obtain two sufficient conditions for precompact sets in matrix weighted Bourgain-Morrey spaces. We prove that…
math.FA2024
Embedding and Duality of Matrix-Weighted Modulation Spaces
Shengrong Wang, Pengfei Guo, Jingshi Xu
In this paper, we give a approximation characterization, embedding properties and the duality of matrix weighted modulation spaces.