On variations for mappings with restrictions on dilation in measure
We construct variations for classes of homeomorphisms with generalized derivatives in the case where restrictions in measure of general form are imposed on large values of dilation. We use the method for the construction of variations suggested by Gutlyanskii.
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| Date: | 1996 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5306 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511523649093632 |
|---|---|
| author | Potemkin, V. L. Потемкин, В. Л. Потемкин, В. Л. |
| author_facet | Potemkin, V. L. Потемкин, В. Л. Потемкин, В. Л. |
| author_sort | Potemkin, V. L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T15:31:47Z |
| description | We construct variations for classes of homeomorphisms with generalized derivatives in the case where restrictions in measure of general form are imposed on large values of dilation. We use the method for the construction of variations suggested by Gutlyanskii. |
| first_indexed | 2026-03-24T03:14:15Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5306 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:14:15Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c1/10de131aa20aa80aa394e11cfd7e9ac1.pdf |
| spelling | umjimathkievua-article-53062020-03-19T15:31:47Z On variations for mappings with restrictions on dilation in measure О вариациях для отображений с ограничениями по мере на дилатацию О вариациях для отображений с ограничениями по мере на дилатацию Potemkin, V. L. Потемкин, В. Л. Потемкин, В. Л. We construct variations for classes of homeomorphisms with generalized derivatives in the case where restrictions in measure of general form are imposed on large values of dilation. We use the method for the construction of variations suggested by Gutlyanskii. Побудовано варіації для класів гомеоморфізмів з узагальненими похідними у випадку, коли на великі значення дилатації накладено обмеження за мірою загального вигляду. Застосовано метод побудови варіацій, вперше використаний В. Я. Гутлянським. Побудовано варіації для класів гомеоморфізмів з узагальненими похідними у випадку, коли на великі значення дилатації накладено обмеження за мірою загального вигляду. Застосовано метод побудови варіацій, вперше використаний В. Я. Гутлянським. Institute of Mathematics, NAS of Ukraine 1996-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5306 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 5 (1996); 716-718 Український математичний журнал; Том 48 № 5 (1996); 716-718 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5306/7304 https://umj.imath.kiev.ua/index.php/umj/article/view/5306/7305 Copyright (c) 1996 Potemkin V. L. |
| spellingShingle | Potemkin, V. L. Потемкин, В. Л. Потемкин, В. Л. On variations for mappings with restrictions on dilation in measure |
| title | On variations for mappings with restrictions on dilation in measure |
| title_alt | О вариациях для отображений с ограничениями по мере на дилатацию О вариациях для отображений с ограничениями по мере на дилатацию |
| title_full | On variations for mappings with restrictions on dilation in measure |
| title_fullStr | On variations for mappings with restrictions on dilation in measure |
| title_full_unstemmed | On variations for mappings with restrictions on dilation in measure |
| title_short | On variations for mappings with restrictions on dilation in measure |
| title_sort | on variations for mappings with restrictions on dilation in measure |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5306 |
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