Exact values of mean $n$-widths for the classes of functions analytic in the upper half plane in the Hardy space
In the Hardy space $H_2 ℝ_+^2$ of functions analytic in the upper half plane such that $$\sup \left\{ {\int\limits_\mathbb{R} {|f(x + iy)|^2 dx: 0< y< \infty } } \right\}< \infty ,$$ we determine mean $N$-widths and find their exact values for numerous classes of functions.
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5672 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511900779937792 |
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| author | Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. |
| author_facet | Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. |
| author_sort | Vakarchuk, S. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:15:43Z |
| description | In the Hardy space $H_2 ℝ_+^2$ of functions analytic in the upper half plane such that
$$\sup \left\{ {\int\limits_\mathbb{R} {|f(x + iy)|^2 dx: 0< y< \infty } } \right\}< \infty ,$$
we determine mean $N$-widths and find their exact values for numerous classes of functions. |
| first_indexed | 2026-03-24T03:20:15Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5672 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:15Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/86/18c94f0a162e55da108b1059d7e57086.pdf |
| spelling | umjimathkievua-article-56722020-03-19T09:15:43Z Exact values of mean $n$-widths for the classes of functions analytic in the upper half plane in the Hardy space Точные значения средних $N$-поперечников классов аналитических в верхней полуплоскости функций в пространстве Харди $H_2 ℝ_+^2$ Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. In the Hardy space $H_2 ℝ_+^2$ of functions analytic in the upper half plane such that $$\sup \left\{ {\int\limits_\mathbb{R} {|f(x + iy)|^2 dx: 0< y< \infty } } \right\}< \infty ,$$ we determine mean $N$-widths and find their exact values for numerous classes of functions. У просторі Харді $H_2 ℝ_+^2$, який складається з аналітичних у верхній нівплощині функцій, і чи коїрнх $$\sup \left\{ {\int\limits_\mathbb{R} {|f(x + iy)|^2 dx: 0< y< \infty } } \right\}< \infty ,$$ визначені деякі середні $N$-поперечники та знайдені їх точні значення для ряду функціональних к часів. Institute of Mathematics, NAS of Ukraine 1994-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5672 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 7 (1994); 814–824 Український математичний журнал; Том 46 № 7 (1994); 814–824 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5672/8029 https://umj.imath.kiev.ua/index.php/umj/article/view/5672/8030 Copyright (c) 1994 Vakarchuk S. B. |
| spellingShingle | Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. Exact values of mean $n$-widths for the classes of functions analytic in the upper half plane in the Hardy space |
| title | Exact values of mean $n$-widths for the classes of functions analytic in the upper half plane in the Hardy space |
| title_alt | Точные значения средних $N$-поперечников классов аналитических в верхней полуплоскости функций в пространстве Харди $H_2 ℝ_+^2$ |
| title_full | Exact values of mean $n$-widths for the classes of functions analytic in the upper half plane in the Hardy space |
| title_fullStr | Exact values of mean $n$-widths for the classes of functions analytic in the upper half plane in the Hardy space |
| title_full_unstemmed | Exact values of mean $n$-widths for the classes of functions analytic in the upper half plane in the Hardy space |
| title_short | Exact values of mean $n$-widths for the classes of functions analytic in the upper half plane in the Hardy space |
| title_sort | exact values of mean $n$-widths for the classes of functions analytic in the upper half plane in the hardy space |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5672 |
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