The Laplace' Quasi-operator in Quasi-Sobolev spaces

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...

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Main Author: J. K. K. Al-Delfi
Format: Article
Language:English
Published: Samara State Technical University 2013-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu1213
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spelling doaj-e126a60aea784ebcb2da7bfd3dafbfd12020-11-25T01:55:51ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-06-012(31)131610.14498/vsgtu1213The Laplace' Quasi-operator in Quasi-Sobolev spacesJ. K. K. Al-DelfiThe 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.http://mi.mathnet.ru/eng/vsgtu1213
collection DOAJ
language English
format Article
sources DOAJ
author J. K. K. Al-Delfi
spellingShingle J. K. K. Al-Delfi
The Laplace' Quasi-operator in Quasi-Sobolev spaces
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet J. K. K. Al-Delfi
author_sort J. K. K. Al-Delfi
title The Laplace' Quasi-operator in Quasi-Sobolev spaces
title_short The Laplace' Quasi-operator in Quasi-Sobolev spaces
title_full The Laplace' Quasi-operator in Quasi-Sobolev spaces
title_fullStr The Laplace' Quasi-operator in Quasi-Sobolev spaces
title_full_unstemmed The Laplace' Quasi-operator in Quasi-Sobolev spaces
title_sort laplace' quasi-operator in quasi-sobolev spaces
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2013-06-01
description 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.
url http://mi.mathnet.ru/eng/vsgtu1213
work_keys_str_mv AT jkkaldelfi thelaplacequasioperatorinquasisobolevspaces
AT jkkaldelfi laplacequasioperatorinquasisobolevspaces
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