On the Representation of Linear Continuous Functionals in Spaces of Analytic Functions of the Hardy–Sobolev Type in a Polydisk
We describe dual spaces of classes of the Hardy–Sobolev type \(F_l^{pq} (U^n )\) of functions holomorphic in a polydisk for 0 < p ≤ 1 and q ∈ (0, ∞) and for p ∈ (1, ∞) and q = 1.
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| Date: | 2003 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3942 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510073123504128 |
|---|---|
| author | Shamoyan, R. F. Шамоян, Р. Ф. Шамоян, Р. Ф. |
| author_facet | Shamoyan, R. F. Шамоян, Р. Ф. Шамоян, Р. Ф. |
| author_sort | Shamoyan, R. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:15:55Z |
| description | We describe dual spaces of classes of the Hardy–Sobolev type \(F_l^{pq} (U^n )\) of functions holomorphic in a polydisk for 0 < p ≤ 1 and q ∈ (0, ∞) and for p ∈ (1, ∞) and q = 1. |
| first_indexed | 2026-03-24T02:51:12Z |
| format | Article |
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| id | umjimathkievua-article-3942 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:51:12Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/27/605a8da7c1634575447caacdea32d527.pdf |
| spelling | umjimathkievua-article-39422020-03-18T20:15:55Z On the Representation of Linear Continuous Functionals in Spaces of Analytic Functions of the Hardy–Sobolev Type in a Polydisk О представлении линейных непрерывных функционалов в пространствах аналитических функций типа Харди — Соболева в полукруге Shamoyan, R. F. Шамоян, Р. Ф. Шамоян, Р. Ф. We describe dual spaces of classes of the Hardy–Sobolev type \(F_l^{pq} (U^n )\) of functions holomorphic in a polydisk for 0 < p ≤ 1 and q ∈ (0, ∞) and for p ∈ (1, ∞) and q = 1. Наведено опис спряжених npocTopiB клаав типу Харди —Соболева $F_l^{pq} (U^n )$ голоморфних y пoлукpyзi функції при $0 < p ≤ 1,\; q ∈ (0, ∞)$, та при $p ∈ (1, ∞),\; q = 1$. Institute of Mathematics, NAS of Ukraine 2003-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3942 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 5 (2003); 671-686 Український математичний журнал; Том 55 № 5 (2003); 671-686 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3942/4597 https://umj.imath.kiev.ua/index.php/umj/article/view/3942/4598 Copyright (c) 2003 Shamoyan R. F. |
| spellingShingle | Shamoyan, R. F. Шамоян, Р. Ф. Шамоян, Р. Ф. On the Representation of Linear Continuous Functionals in Spaces of Analytic Functions of the Hardy–Sobolev Type in a Polydisk |
| title | On the Representation of Linear Continuous Functionals in Spaces of Analytic Functions of the Hardy–Sobolev Type in a Polydisk |
| title_alt | О представлении линейных непрерывных функционалов в пространствах аналитических функций типа Харди — Соболева в полукруге |
| title_full | On the Representation of Linear Continuous Functionals in Spaces of Analytic Functions of the Hardy–Sobolev Type in a Polydisk |
| title_fullStr | On the Representation of Linear Continuous Functionals in Spaces of Analytic Functions of the Hardy–Sobolev Type in a Polydisk |
| title_full_unstemmed | On the Representation of Linear Continuous Functionals in Spaces of Analytic Functions of the Hardy–Sobolev Type in a Polydisk |
| title_short | On the Representation of Linear Continuous Functionals in Spaces of Analytic Functions of the Hardy–Sobolev Type in a Polydisk |
| title_sort | on the representation of linear continuous functionals in spaces of analytic functions of the hardy–sobolev type in a polydisk |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3942 |
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