About the reversibility of linear differentiation operators of the elliptical type in some function spaces

In the spaces of Sobolev–Slobodetzky $H^s(R)$, Sobolev–Stepanov $W^s(R^p)$ and Stepanov–Besov $W^s(V^p)$ ($0<s<\infty$), the equivalence of invertibility properties for the linear differentiation operator with limited coefficients is proved.