On convergence theorems for homeomorphisms of Sobolev class
We prove a new convergence theorem for homeomorphisms of Sobolev class with a locally summable upper bound of deformations. This theorem allows us to generalize the known Strebel and Bers-Boyarskii convergence theorems.
Gespeichert in:
| Datum: | 1995 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1995
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5410 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511644065464320 |
|---|---|
| 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 | 2020-03-19T08:58:41Z |
| description | We prove a new convergence theorem for homeomorphisms of Sobolev class with a locally summable upper bound of deformations. This theorem allows us to generalize the known Strebel and Bers-Boyarskii convergence theorems. |
| first_indexed | 2026-03-24T03:16:10Z |
| format | Article |
| fulltext |
0105
0106
0107
0108
0109
0110
0111
0112
0113
0114
0115
|
| id | umjimathkievua-article-5410 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:10Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/71/4adc2d2862361fb716fa7b3d2ceec471.pdf |
| spelling | umjimathkievua-article-54102020-03-19T08:58:41Z On convergence theorems for homeomorphisms of Sobolev class О теоремах сходимости для гомеоморфизмов класса Соболева Ryazanov, V. I. Рязанов, В. И. Рязанов, В. И. We prove a new convergence theorem for homeomorphisms of Sobolev class with a locally summable upper bound of deformations. This theorem allows us to generalize the known Strebel and Bers-Boyarskii convergence theorems. Доведена нова теорема збіжності для гомеоморфізмів класу Соболева з локально сумовною верхньою межею деформацій. Як висновки одержані узагальнення відомих теорем збіжності III тре бел я та Берса — Боярського. Institute of Mathematics, NAS of Ukraine 1995-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5410 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 2 (1995); 249–259 Український математичний журнал; Том 47 № 2 (1995); 249–259 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5410/7509 https://umj.imath.kiev.ua/index.php/umj/article/view/5410/7510 Copyright (c) 1995 Ryazanov V. I. |
| spellingShingle | Ryazanov, V. I. Рязанов, В. И. Рязанов, В. И. On convergence theorems for homeomorphisms of Sobolev class |
| title | On convergence theorems for homeomorphisms of Sobolev class |
| title_alt | О теоремах сходимости для гомеоморфизмов класса Соболева |
| title_full | On convergence theorems for homeomorphisms of Sobolev class |
| title_fullStr | On convergence theorems for homeomorphisms of Sobolev class |
| title_full_unstemmed | On convergence theorems for homeomorphisms of Sobolev class |
| title_short | On convergence theorems for homeomorphisms of Sobolev class |
| title_sort | on convergence theorems for homeomorphisms of sobolev class |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5410 |
| work_keys_str_mv | AT ryazanovvi onconvergencetheoremsforhomeomorphismsofsobolevclass AT râzanovvi onconvergencetheoremsforhomeomorphismsofsobolevclass AT râzanovvi onconvergencetheoremsforhomeomorphismsofsobolevclass AT ryazanovvi oteoremahshodimostidlâgomeomorfizmovklassasoboleva AT râzanovvi oteoremahshodimostidlâgomeomorfizmovklassasoboleva AT râzanovvi oteoremahshodimostidlâgomeomorfizmovklassasoboleva |