A note on the theorems of paley and stein
We show that, under the conditions of the theorems of Paley and Stein, a system with bounded norms in $L_{∞}$ can be replaced by a system with bounded norms in the space of functions of bounded mean oscillation.
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| Дата: | 2000 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2000
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4447 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510576729391104 |
|---|---|
| author | Kirillov, S. A. Кириллов, С. А. Кириллов, С. А. |
| author_facet | Kirillov, S. A. Кириллов, С. А. Кириллов, С. А. |
| author_sort | Kirillov, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:03Z |
| description | We show that, under the conditions of the theorems of Paley and Stein, a system with bounded norms in $L_{∞}$ can be replaced by a system with bounded norms in the space of functions of bounded mean oscillation. |
| first_indexed | 2026-03-24T02:59:12Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4447 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:59:12Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e5/d5b9a6fb9acb699cbbf6329ac80b89e5.pdf |
| spelling | umjimathkievua-article-44472020-03-18T20:29:03Z A note on the theorems of paley and stein Одно замечание по поводу теорем Пэли и Стейна Kirillov, S. A. Кириллов, С. А. Кириллов, С. А. We show that, under the conditions of the theorems of Paley and Stein, a system with bounded norms in $L_{∞}$ can be replaced by a system with bounded norms in the space of functions of bounded mean oscillation. Показано, що в умовах теорем Пелі та Стейпа систему з обмеженими нормами в $L_{∞}$ можна замінити системою з обмеженими нормами в ВМО. Institute of Mathematics, NAS of Ukraine 2000-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4447 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 4 (2000); 562-566 Український математичний журнал; Том 52 № 4 (2000); 562-566 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4447/5598 https://umj.imath.kiev.ua/index.php/umj/article/view/4447/5599 Copyright (c) 2000 Kirillov S. A. |
| spellingShingle | Kirillov, S. A. Кириллов, С. А. Кириллов, С. А. A note on the theorems of paley and stein |
| title | A note on the theorems of paley and stein |
| title_alt | Одно замечание по поводу теорем Пэли и Стейна |
| title_full | A note on the theorems of paley and stein |
| title_fullStr | A note on the theorems of paley and stein |
| title_full_unstemmed | A note on the theorems of paley and stein |
| title_short | A note on the theorems of paley and stein |
| title_sort | note on the theorems of paley and stein |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4447 |
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