Besov and Triebel-Lizorkin spaces on homogeneous groups

Guorong Hu, David Rottensteiner, Michael Ruzhansky +1

This paper develops a theory of Besov spaces ${\dot{\mathbf{B}}}^{\ddot{I}}{ƒ}_{p,q}(N)$ and Triebel-Lizorkin spaces ${\dot{\mathbf{F}}}^{\ddot{I}}{ƒ}_{p,q}(N)$ on an arbitrary homogeneous group $N$ for t…