On the noncompactness of classes of mappings with restrictions on dilation in measure
We establish that the classes of mappings with restrictions in measure cannot be compact except for certain degenerate cases. In particular, this implies that any David class ΓI is noncompact.
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| Дата: | 1998 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1998
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4804 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510981357043712 |
|---|---|
| author | Potemkin, V. L. Ryazanov, V. I. Потемкин, В. Л. Рязанов, В. И. Потемкин, В. Л. Рязанов, В. И. |
| author_facet | Potemkin, V. L. Ryazanov, V. I. Потемкин, В. Л. Рязанов, В. И. Потемкин, В. Л. Рязанов, В. И. |
| author_sort | Potemkin, V. L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:14:51Z |
| description | We establish that the classes of mappings with restrictions in measure cannot be compact except for certain degenerate cases. In particular, this implies that any David class ΓI is noncompact. |
| first_indexed | 2026-03-24T03:05:38Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4804 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:05:38Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/21/0cfde2eff551bc4cf0119ec7783b2321.pdf |
| spelling | umjimathkievua-article-48042020-03-18T21:14:51Z On the noncompactness of classes of mappings with restrictions on dilation in measure О некомпактности классов отображений с ограничениями по мере на дилатацию Potemkin, V. L. Ryazanov, V. I. Потемкин, В. Л. Рязанов, В. И. Потемкин, В. Л. Рязанов, В. И. We establish that the classes of mappings with restrictions in measure cannot be compact except for certain degenerate cases. In particular, this implies that any David class ΓI is noncompact. Всі ановлепо, що класи відображенії з обмеженнями за мірою взагалі не можуть бути компактними, за винятком лише окремих випадків виродження. Зокрема, звідси випливає, що будь-який клас ГІ Давіда є некомпак і ним. Institute of Mathematics, NAS of Ukraine 1998-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4804 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 11 (1998); 1522–1531 Український математичний журнал; Том 50 № 11 (1998); 1522–1531 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4804/6307 https://umj.imath.kiev.ua/index.php/umj/article/view/4804/6308 Copyright (c) 1998 Potemkin V. L.; Ryazanov V. I. |
| spellingShingle | Potemkin, V. L. Ryazanov, V. I. Потемкин, В. Л. Рязанов, В. И. Потемкин, В. Л. Рязанов, В. И. On the noncompactness of classes of mappings with restrictions on dilation in measure |
| title | On the noncompactness of classes of mappings with restrictions on dilation in measure |
| title_alt | О некомпактности классов отображений с ограничениями по мере на дилатацию |
| title_full | On the noncompactness of classes of mappings with restrictions on dilation in measure |
| title_fullStr | On the noncompactness of classes of mappings with restrictions on dilation in measure |
| title_full_unstemmed | On the noncompactness of classes of mappings with restrictions on dilation in measure |
| title_short | On the noncompactness of classes of mappings with restrictions on dilation in measure |
| title_sort | on the noncompactness of classes of mappings with restrictions on dilation in measure |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4804 |
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