The Laplace' Quasi-operator in Quasi-Sobolev spaces

The quasi-Sobolev spaces notion introduced in the article is based on the quasinorms concept. Completeness of these spaces on the appropriate quasi-norms is proved and the continuous embedding of these spaces is shown in the work. Also Laplace’ and Green’s quasi-operators concepts are introduced; it is shown that these quasi-operators are toplinear isomorphisms.