Triebel-Lizorkin spaces on metric spaces via hyperbolic fillings

Mario Bonk, Eero Saksman, Tomás Soto

We give a new characterization of (homogeneous) Triebel-Lizorkin spaces ${\dot{\mathcal{F}}}_{p,q}^s(Z)$ in the smoothness range $0<s<1$ for a fairly general class of metric mea…