The weighted spaces $L^\alpha_{p,r}(\rho_1,\rho_2)$ of differentiable functions of fractional smoothness

This is an investigation of weighted spaces of differentiable functions of fractional smoothness consisting of functions $f(x)$ which are $r$-integrable with a weight $\rho_1$ and have “fractional derivatives” which are p-integrable with a weight $\rho_2$.
Bibliography: 20 titles.