Extremal quasiconformality vs bounded rational approximation
We show that, on most of the hyperbolic simply connected domains, the weighty bounded rational approximation in a natural sup norm is possible only for a very sparse set of holomorphic functions (in contrast to the integral approximation). The obstructions are caused by the features of extremal quas...
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| Дата: | 2019 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2019
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| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/169439 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Extremal quasiconformality vs bounded rational approximation / S.L. Krushkal // Український математичний вісник. — 2019. — Т. 16, № 2. — С. 181-199. — Бібліогр.: 26 назв. — англ. |
Репозитарії
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irk-123456789-169439 |
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irk-123456789-1694392020-06-14T01:26:46Z Extremal quasiconformality vs bounded rational approximation Krushkal, S.L. We show that, on most of the hyperbolic simply connected domains, the weighty bounded rational approximation in a natural sup norm is possible only for a very sparse set of holomorphic functions (in contrast to the integral approximation). The obstructions are caused by the features of extremal quasiconformality. The paper is devoted to the 100th anniversary of Georgii Dmitrievich Suvorov, my first university adviser and teacher. He was an outstanding mathematician and a widely talented, extremely great human being. 2019 Article Extremal quasiconformality vs bounded rational approximation / S.L. Krushkal // Український математичний вісник. — 2019. — Т. 16, № 2. — С. 181-199. — Бібліогр.: 26 назв. — англ. 1810-3200 2000 MSC. Primary: 30C62, 30C75, 30E10; Secondary: 30F45, 30F60, 32G15 http://dspace.nbuv.gov.ua/handle/123456789/169439 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We show that, on most of the hyperbolic simply connected domains, the weighty bounded rational approximation in a natural sup norm is possible only for a very sparse set of holomorphic functions (in contrast to the integral approximation). The obstructions are caused by the features of extremal quasiconformality. |
| format |
Article |
| author |
Krushkal, S.L. |
| spellingShingle |
Krushkal, S.L. Extremal quasiconformality vs bounded rational approximation Український математичний вісник |
| author_facet |
Krushkal, S.L. |
| author_sort |
Krushkal, S.L. |
| title |
Extremal quasiconformality vs bounded rational approximation |
| title_short |
Extremal quasiconformality vs bounded rational approximation |
| title_full |
Extremal quasiconformality vs bounded rational approximation |
| title_fullStr |
Extremal quasiconformality vs bounded rational approximation |
| title_full_unstemmed |
Extremal quasiconformality vs bounded rational approximation |
| title_sort |
extremal quasiconformality vs bounded rational approximation |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2019 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/169439 |
| citation_txt |
Extremal quasiconformality vs bounded rational approximation / S.L. Krushkal // Український математичний вісник. — 2019. — Т. 16, № 2. — С. 181-199. — Бібліогр.: 26 назв. — англ. |
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Український математичний вісник |
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AT krushkalsl extremalquasiconformalityvsboundedrationalapproximation |
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2023-10-18T22:25:11Z |
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