Equivalent norms and $\phi$-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 $A$. Inspired by the $\A_p$-dimensions of matrix weight of…