Criteria of convergence for quasiconformal mappings and their generalizations
We establish necessary and sufficient conditions for the convergence of normalized homeomorphisms of Sobolev class in terms of the Fourier transforms of complex characteristics in the case where the upper bound of dilations is exponentially bounded in measure. This allows us to construct various met...
Збережено в:
| Дата: | 1996 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1996
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5300 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511520433111040 |
|---|---|
| author | Ryazanov, V. I. Рязанов, В. И. Рязанов, В. И. |
| author_facet | Ryazanov, V. I. Рязанов, В. И. Рязанов, В. И. |
| author_sort | Ryazanov, V. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:29:48Z |
| description | We establish necessary and sufficient conditions for the convergence of normalized homeomorphisms of Sobolev class in terms of the Fourier transforms of complex characteristics in the case where the upper bound of dilations is exponentially bounded in measure. This allows us to construct various metrics generating locally uniform convergence of mappings. |
| first_indexed | 2026-03-24T03:14:12Z |
| format | Article |
| fulltext |
0057
0058
0059
0060
0061
0062
0063
0064
0065
0066
|
| id | umjimathkievua-article-5300 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:14:12Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7d/3cd37dc7aa7a63b45ea6c044a0bfe17d.pdf |
| spelling | umjimathkievua-article-53002020-03-18T21:29:48Z Criteria of convergence for quasiconformal mappings and their generalizations О критериях сходимости для квазиконформных отображений и их обобщений Ryazanov, V. I. Рязанов, В. И. Рязанов, В. И. We establish necessary and sufficient conditions for the convergence of normalized homeomorphisms of Sobolev class in terms of the Fourier transforms of complex characteristics in the case where the upper bound of dilations is exponentially bounded in measure. This allows us to construct various metrics generating locally uniform convergence of mappings. У термінах перетворення Фур'є комплексних характеристик знайдені необхідні та достатні умови збіжності нормованих гомеоморфізмів класу Соболева при експоненціальній обмеженості за мірою верхньої межі дилатацій. На цій основі побудовані різні метрики, які породжують локально рівномірну збіжність відображень. Institute of Mathematics, NAS of Ukraine 1996-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5300 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 5 (1996); 665-674 Український математичний журнал; Том 48 № 5 (1996); 665-674 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5300/7292 https://umj.imath.kiev.ua/index.php/umj/article/view/5300/7293 Copyright (c) 1996 Ryazanov V. I. |
| spellingShingle | Ryazanov, V. I. Рязанов, В. И. Рязанов, В. И. Criteria of convergence for quasiconformal mappings and their generalizations |
| title | Criteria of convergence for quasiconformal mappings and their generalizations |
| title_alt | О критериях сходимости для квазиконформных отображений
и их обобщений |
| title_full | Criteria of convergence for quasiconformal mappings and their generalizations |
| title_fullStr | Criteria of convergence for quasiconformal mappings and their generalizations |
| title_full_unstemmed | Criteria of convergence for quasiconformal mappings and their generalizations |
| title_short | Criteria of convergence for quasiconformal mappings and their generalizations |
| title_sort | criteria of convergence for quasiconformal mappings and their generalizations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5300 |
| work_keys_str_mv | AT ryazanovvi criteriaofconvergenceforquasiconformalmappingsandtheirgeneralizations AT râzanovvi criteriaofconvergenceforquasiconformalmappingsandtheirgeneralizations AT râzanovvi criteriaofconvergenceforquasiconformalmappingsandtheirgeneralizations AT ryazanovvi okriteriâhshodimostidlâkvazikonformnyhotobraženijiihobobŝenij AT râzanovvi okriteriâhshodimostidlâkvazikonformnyhotobraženijiihobobŝenij AT râzanovvi okriteriâhshodimostidlâkvazikonformnyhotobraženijiihobobŝenij |