Besov and Triebel-Lizorkin spaces on homogeneous groups

Guorong Hu, David Rottensteiner, Michael Ruzhansky +1

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