Multiplicative inequalities in regions with noncompact boundary
Exact embedding theorems of the multiplicative type are established for functions of Sobolev spaces defined in a domain Ω ⸦ Rn, п ≥ 2, whose boundary is not compact. The main condition on the domain is of the isoperimetric type.
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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7840 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512786748014592 |
|---|---|
| author | Tedeev , A. F. Тедеев , А. Ф. |
| author_facet | Tedeev , A. F. Тедеев , А. Ф. |
| author_sort | Tedeev , A. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-09-27T12:27:08Z |
| description | Exact embedding theorems of the multiplicative type are established for functions of Sobolev spaces defined in a domain Ω ⸦ Rn, п ≥ 2, whose boundary is not compact. The main condition on the domain is of the isoperimetric type. |
| first_indexed | 2026-03-24T03:34:19Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-7840 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:34:19Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/cb/a4c79d0c363d4addb1e7a994bfeb4acb.pdf |
| spelling | umjimathkievua-article-78402023-09-27T12:27:08Z Multiplicative inequalities in regions with noncompact boundary О мультипликативных неравенствах в областях с некомпактной границей Tedeev , A. F. Тедеев , А. Ф. Exact embedding theorems of the multiplicative type are established for functions of Sobolev spaces defined in a domain Ω ⸦ Rn, п ≥ 2, whose boundary is not compact. The main condition on the domain is of the isoperimetric type. Получены точные теоремы вложения мультипликативного типа для функций из пространств С. Л. Соболева, определенных в области Ω ⸦ Rn, п ≥ 2, с некомпактной границей. Основное требование к области — это условие изопериметрического типа. Одержані точні теореми вкладення мультиплікативного типу для функцій із просторів С. Л. Соболева, визначених у області Ω ⸦ Rn, п ≥ 2, з некомпактною границею. Головна вимога до області — це умова ізопериметричного типу. Institute of Mathematics, NAS of Ukraine 1992-02-28 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/7840 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 2 (1992); 260-268 Український математичний журнал; Том 44 № 2 (1992); 260-268 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/7840/9489 Copyright (c) 1992 A. F. Tedeev |
| spellingShingle | Tedeev , A. F. Тедеев , А. Ф. Multiplicative inequalities in regions with noncompact boundary |
| title | Multiplicative inequalities in regions with noncompact boundary |
| title_alt | О мультипликативных неравенствах в областях с некомпактной границей |
| title_full | Multiplicative inequalities in regions with noncompact boundary |
| title_fullStr | Multiplicative inequalities in regions with noncompact boundary |
| title_full_unstemmed | Multiplicative inequalities in regions with noncompact boundary |
| title_short | Multiplicative inequalities in regions with noncompact boundary |
| title_sort | multiplicative inequalities in regions with noncompact boundary |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7840 |
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