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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| Format: | Article |
| Language: | English |
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Samara State Technical University
2013-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20805/17064 |
| _version_ | 1828380693222129664 |
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| author | Jawad K Al-Delfi |
| author_facet | Jawad K Al-Delfi |
| author_sort | Jawad K Al-Delfi |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-10T04:02:45Z |
| format | Article |
| id | doaj.art-a06489ab4d4e4d00bfe7f4a8c3f6e6d6 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T04:02:45Z |
| publishDate | 2013-06-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-a06489ab4d4e4d00bfe7f4a8c3f6e6d62022-12-22T02:02:57ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-06-01172131618222The Laplace’ quasi-operator in quasi-Sobolev spacesJawad K Al-Delfi0South Ural State University (National Research University)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.https://journals.eco-vector.com/1991-8615/article/viewFile/20805/17064quasi-normquasi-banach spacequasi-sobolev spaceslaplace’ quasioperatorgreen’s quasi-operator |
| spellingShingle | Jawad K Al-Delfi The Laplace’ quasi-operator in quasi-Sobolev spaces Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki quasi-norm quasi-banach space quasi-sobolev spaces laplace’ quasioperator green’s quasi-operator |
| title | 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_short | The Laplace’ quasi-operator in quasi-Sobolev spaces |
| title_sort | laplace quasi operator in quasi sobolev spaces |
| topic | quasi-norm quasi-banach space quasi-sobolev spaces laplace’ quasioperator green’s quasi-operator |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20805/17064 |
| work_keys_str_mv | AT jawadkaldelfi thelaplacequasioperatorinquasisobolevspaces AT jawadkaldelfi laplacequasioperatorinquasisobolevspaces |