Vector measures of various smoothness classes and their limits
A relationship between different types of continuity with respect to direction and other types of smoothness is found for vector measures. The following problem is also studied: What vector measures can be represented as the limits of quasiinvariant, infinitely differentiable, analytic, and continuo...
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| Дата: | 1995 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1995
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5449 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511680121798656 |
|---|---|
| author | Romanov, V. A. Романов, В. А. Романов, В. А. |
| author_facet | Romanov, V. A. Романов, В. А. Романов, В. А. |
| author_sort | Romanov, V. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:59:28Z |
| description | A relationship between different types of continuity with respect to direction and other types of smoothness is found for vector measures. The following problem is also studied: What vector measures can be represented as the limits of quasiinvariant, infinitely differentiable, analytic, and continuous measures in the topologies of convergence in variation, convergence in semivariation, and convergence on every measurable set. |
| first_indexed | 2026-03-24T03:16:44Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5449 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:44Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1a/4509a1a72d14d87e4f43b6d701887a1a.pdf |
| spelling | umjimathkievua-article-54492020-03-19T08:59:28Z Vector measures of various smoothness classes and their limits Векторные меры различных классов гладкости и их пределы Romanov, V. A. Романов, В. А. Романов, В. А. A relationship between different types of continuity with respect to direction and other types of smoothness is found for vector measures. The following problem is also studied: What vector measures can be represented as the limits of quasiinvariant, infinitely differentiable, analytic, and continuous measures in the topologies of convergence in variation, convergence in semivariation, and convergence on every measurable set. Знайдено взаємозв'язок між різними видами неперервності за напрямом та іншими видами гладкості для векторних мір. Досліджується також питання про те, які векторні міри можуть бути зображені як границі квазіінваріантних, нескінченно диференційовних, аналітичних і неперервних мір в топологіях збіжності за варіацією, за напівваріацією та на кожній вимірній множині. Institute of Mathematics, NAS of Ukraine 1995-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5449 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 4 (1995); 512–516 Український математичний журнал; Том 47 № 4 (1995); 512–516 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5449/7587 https://umj.imath.kiev.ua/index.php/umj/article/view/5449/7588 Copyright (c) 1995 Romanov V. A. |
| spellingShingle | Romanov, V. A. Романов, В. А. Романов, В. А. Vector measures of various smoothness classes and their limits |
| title | Vector measures of various smoothness classes and their limits |
| title_alt | Векторные меры различных классов гладкости и их пределы |
| title_full | Vector measures of various smoothness classes and their limits |
| title_fullStr | Vector measures of various smoothness classes and their limits |
| title_full_unstemmed | Vector measures of various smoothness classes and their limits |
| title_short | Vector measures of various smoothness classes and their limits |
| title_sort | vector measures of various smoothness classes and their limits |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5449 |
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