Mappings of homogeneous groups and imbeddings of functional spaces (Q807936)

The author investigates the metric and analytic properties of a mapping \(\phi\) defined by an isomorphism \(\phi^*: F\to F'\), \(\phi^*(f)=f\circ \phi\), \(f\in F\) where F and \(F'\) are functional spaces on homogeneous groups. The Sobolev spaces and the Nikolskii spaces are considered as the model examples of F and \(F'\).