Besov-type spaces of variable smoothness on rough domains

A. I. Tyulenev

The paper puts forward new Besov spaces of variable smoothness $B_{p,q}^{{\phi }_0}(G,\{t_k\})$ and ${\tilde{B}}_{p,q,r}^l(\Omega ,\{t_k\})$ on rough domains. A~domain~$G$ is either…