Geodesic
The Laplace' Quasi-operator in Quasi-Sobolev spaces
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2013), pp. 13-16

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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.
Mots-clés : quasi-norm, quasi-Banach space, quasi-Sobolev spaces
Keywords: Laplace' quasi-operator, Green’s quasi-operator. 
@article{VSGTU_2013_2_a1,
     author = {J. K. K. Al-Delfi},
     title = {The {Laplace'} {Quasi-operator} in {Quasi-Sobolev} spaces},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {13--16},
     publisher = {mathdoc},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2013_2_a1/}
}
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J. K. K. Al-Delfi. The Laplace' Quasi-operator in Quasi-Sobolev spaces. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2013), pp. 13-16. http://geodesic.mathdoc.fr/item/VSGTU_2013_2_a1/