Littlewood-Paley Theory for Matrix-Weighted Function Spaces

Michael Frazier, Svetlana Roudenko

We define the vector-valued, matrix-weighted function spaces ${\dot{F}}_p^{\alpha q}(W)$ (homogeneous) and $F_p^{\alpha q}(W)$ (inhomogeneous) on ${\mathbb{R}}^n$, for $\alpha \in \mathbb{R}$, $0<p<\inf…