Diameters of certain classes of analytical functions. I
In the spaces of analytic functions $E_q (\Omega), q\geq1$,, introduced by V. I. Smirnov, where $\Omega$ is a bounded simply connected domain in the plane $\mathbb C$  with sufficiently smooth boundary γ, we obtain order estimates of diameters of the classes $W^rE_p (\Omega) (р\geq1$, a...
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8101 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512903176650752 |
|---|---|
| author | Vakarchuk , S. B. Вакарчук, С. Б. |
| author_facet | Vakarchuk , S. B. Вакарчук, С. Б. |
| author_sort | Vakarchuk , S. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-01-31T10:37:52Z |
| description | In the spaces of analytic functions $E_q (\Omega), q\geq1$,, introduced by V. I. Smirnov, where $\Omega$ is a bounded simply connected domain in the plane $\mathbb C$  with sufficiently smooth boundary γ, we obtain order estimates of diameters of the classes $W^rE_p (\Omega) (р\geq1$, and $r$ is a natural number $\geq 2$) for distinct $p$ and $q$.
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| first_indexed | 2026-03-24T03:36:11Z |
| format | Article |
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| id | umjimathkievua-article-8101 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:36:11Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c8/f70ad91079fa6b0e5702dfae23ce96c8.pdf |
| spelling | umjimathkievua-article-81012024-01-31T10:37:52Z Diameters of certain classes of analytical functions. I О поперечниках некоторых классов аналитических функций. I Vakarchuk , S. B. Вакарчук, С. Б. In the spaces of analytic functions $E_q (\Omega), q\geq1$,, introduced by V. I. Smirnov, where $\Omega$ is a bounded simply connected domain in the plane $\mathbb C$  with sufficiently smooth boundary γ, we obtain order estimates of diameters of the classes $W^rE_p (\Omega) (р\geq1$, and $r$ is a natural number $\geq 2$) for distinct $p$ and $q$. Во введенных В. И. Смирновым пространствах аналитических функций $E_q (\Omega), q\geq1$,  где $\Omega$ — конечная односвязная область плоскости $\mathbb C$ с достаточно гладкой границей $\gamma$, получены порядковые оценки некоторых поперечников классов $W^rE_p (\Omega) (р\geq1,  r$ —натуральное число $\geq 2$) при несовпадающих $p$ и $q$. У введеннях В. І. Смірновим просторах аналітичних функцій $E_q (\Omega), q\geq1$, де $\Omega$ —скінченна однозв’язна область площини $\mathbb C$  з достатньо гладкою межею $\gamma$, одержані порядкові оцінки деяких поперечників класів $W^rE_p (\Omega) (р\geq1,  r$ — натуральне число $\geq 2$)  при незбіжних $p$ і $q$. Institute of Mathematics, NAS of Ukraine 1992-04-02 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8101 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 3 (1992); 324-333 Український математичний журнал; Том 44 № 3 (1992); 324-333 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8101/9632 Copyright (c) 1992 S. B. Vakarchuk |
| spellingShingle | Vakarchuk , S. B. Вакарчук, С. Б. Diameters of certain classes of analytical functions. I |
| title | Diameters of certain classes of analytical functions. I |
| title_alt | О поперечниках некоторых классов аналитических функций. I |
| title_full | Diameters of certain classes of analytical functions. I |
| title_fullStr | Diameters of certain classes of analytical functions. I |
| title_full_unstemmed | Diameters of certain classes of analytical functions. I |
| title_short | Diameters of certain classes of analytical functions. I |
| title_sort | diameters of certain classes of analytical functions. i |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8101 |
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