Limits on the real line of symmetric spaces on segments
In the same way as the known spacesM p ,M p , andI p are constructed on the basis of the spaceL p (−1, 1), we construct the corresponding “limit” spacesM E ,M E , andI E on the real line on the basis of a symmetric function spaceE on a segment and study some of their Banach properties.
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| Date: | 1995 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5381 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511612531638272 |
|---|---|
| author | Kucher, О. V. Plichko, A. M. Кучер, О. В. Плічко, А. М. |
| author_facet | Kucher, О. V. Plichko, A. M. Кучер, О. В. Плічко, А. М. |
| author_sort | Kucher, О. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:17Z |
| description | In the same way as the known spacesM p ,M p , andI p are constructed on the basis of the spaceL p (−1, 1), we construct the corresponding “limit” spacesM E ,M E , andI E on the real line on the basis of a symmetric function spaceE on a segment and study some of their Banach properties. |
| first_indexed | 2026-03-24T03:15:40Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5381 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:15:40Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/da/c1c040c18064801b90c8504589845cda.pdf |
| spelling | umjimathkievua-article-53812020-03-19T08:58:17Z Limits on the real line of symmetric spaces on segments Limits on the real line of symmetric spaces on segments Kucher, О. V. Plichko, A. M. Кучер, О. В. Плічко, А. М. In the same way as the known spacesM p ,M p , andI p are constructed on the basis of the spaceL p (−1, 1), we construct the corresponding “limit” spacesM E ,M E , andI E on the real line on the basis of a symmetric function spaceE on a segment and study some of their Banach properties. За симетричним функціональним простором $E$ на відрізку будуються відповідні „граничні" простори $M_p,\; \mathfrak{M_p}$ та $I_p$ на прямій і вивчаються деякі їх банахівські властивості аналогічно тому, як за простором $L_p(-1, 1)$ будуються відомі простори $M_p,\; \mathfrak{M_p}$ та $I_p$. Institute of Mathematics, NAS of Ukraine 1995-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5381 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 1 (1995); 46–55 Український математичний журнал; Том 47 № 1 (1995); 46–55 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5381/7453 https://umj.imath.kiev.ua/index.php/umj/article/view/5381/7454 Copyright (c) 1995 Kucher О. V.; Plichko A. M. |
| spellingShingle | Kucher, О. V. Plichko, A. M. Кучер, О. В. Плічко, А. М. Limits on the real line of symmetric spaces on segments |
| title | Limits on the real line of symmetric spaces on segments |
| title_alt | Limits on the real line of symmetric spaces on segments |
| title_full | Limits on the real line of symmetric spaces on segments |
| title_fullStr | Limits on the real line of symmetric spaces on segments |
| title_full_unstemmed | Limits on the real line of symmetric spaces on segments |
| title_short | Limits on the real line of symmetric spaces on segments |
| title_sort | limits on the real line of symmetric spaces on segments |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5381 |
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