Continual sets with the Dirichlet properties and products of Hardy spaces
The problem on the simultaneous approximation of functions from the Hardy spaces by continuous functions on the Riemann sphere for a system of disjoint simply connected domains is considered. A criterion for the solvability of this problem is established.
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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8229 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512987957166080 |
|---|---|
| author | Dovgoshey, A. A. Довгошей, А. А. |
| author_facet | Dovgoshey, A. A. Довгошей, А. А. |
| author_sort | Dovgoshey, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:23Z |
| description | The problem on the simultaneous approximation of functions from the Hardy spaces by continuous functions on the Riemann sphere for a system of disjoint simply connected domains is considered. A criterion for the solvability of this problem is established. |
| first_indexed | 2026-03-24T03:37:31Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8229 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:31Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/30/269a751e38ebc60ed8d62647d7d20d30.pdf |
| spelling | umjimathkievua-article-82292024-03-27T09:55:23Z Continual sets with the Dirichlet properties and products of Hardy spaces Континуумы со свойствами Дирихле и произведения пространств Харди Dovgoshey, A. A. Довгошей, А. А. The problem on the simultaneous approximation of functions from the Hardy spaces by continuous functions on the Riemann sphere for a system of disjoint simply connected domains is considered. A criterion for the solvability of this problem is established. Для системы непересекающихся односвязных областей рассмотрена задача об одновременной аппроксимации функций из пространств Харди функциями, непрерывными на сфере Римана. Установлен критерий разрешимости этой задачи. Для системи однозв’язних областей, що не перетинаються, розглянуто задачу про одночасну апроксимацію функцій із просторів Харді функціями, неперервними на сфері Рімана. Встановлено критерій існування розв’язків цієї задачі. Institute of Mathematics, NAS of Ukraine 1992-10-01 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8229 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 10 (1992); 1337-1341 Український математичний журнал; Том 44 № 10 (1992); 1337-1341 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8229/9809 Copyright (c) 1992 A. A. Dovgoshey |
| spellingShingle | Dovgoshey, A. A. Довгошей, А. А. Continual sets with the Dirichlet properties and products of Hardy spaces |
| title | Continual sets with the Dirichlet properties and products of Hardy spaces |
| title_alt | Континуумы со свойствами Дирихле и произведения пространств Харди |
| title_full | Continual sets with the Dirichlet properties and products of Hardy spaces |
| title_fullStr | Continual sets with the Dirichlet properties and products of Hardy spaces |
| title_full_unstemmed | Continual sets with the Dirichlet properties and products of Hardy spaces |
| title_short | Continual sets with the Dirichlet properties and products of Hardy spaces |
| title_sort | continual sets with the dirichlet properties and products of hardy spaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8229 |
| work_keys_str_mv | AT dovgosheyaa continualsetswiththedirichletpropertiesandproductsofhardyspaces AT dovgošejaa continualsetswiththedirichletpropertiesandproductsofhardyspaces AT dovgosheyaa kontinuumysosvojstvamidirihleiproizvedeniâprostranstvhardi AT dovgošejaa kontinuumysosvojstvamidirihleiproizvedeniâprostranstvhardi |