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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| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2019 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/169439 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862624398711717888 |
|---|---|
| author | Krushkal, S.L. |
| author_facet | Krushkal, S.L. |
| 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. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| 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.
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.
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| first_indexed | 2025-12-07T13:32:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169439 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T13:32:42Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Krushkal, S.L. 2020-06-13T10:16:25Z 2020-06-13T10:16:25Z 2019 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 https://nasplib.isofts.kiev.ua/handle/123456789/169439 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. en Інститут прикладної математики і механіки НАН України Український математичний вісник Extremal quasiconformality vs bounded rational approximation Article published earlier |
| spellingShingle | Extremal quasiconformality vs bounded rational approximation Krushkal, S.L. |
| title | 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_short | Extremal quasiconformality vs bounded rational approximation |
| title_sort | extremal quasiconformality vs bounded rational approximation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169439 |
| work_keys_str_mv | AT krushkalsl extremalquasiconformalityvsboundedrationalapproximation |