Extension and approximation of functions subharmonic in a half plane. Impossibility of extension of plurisubharmonic functions
We construct different extensions of functions subharmonic in a half plane to the whole plane. The results obtained are applied to the approximation of subharmonic functions of finite order in a half plane by the logarithm of the modulus of an entire function. It is shown that the problem of extensi...
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| Date: | 1994 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian 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/5655 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511883416567808 |
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| author | Rashkovskii, A. Yu. Ronkin, L. I. Рашковський, А. Ю. Ронкін, Л. І. |
| author_facet | Rashkovskii, A. Yu. Ronkin, L. I. Рашковський, А. Ю. Ронкін, Л. І. |
| author_sort | Rashkovskii, A. Yu. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:15:19Z |
| description | We construct different extensions of functions subharmonic in a half plane to the whole plane. The results obtained are applied to the approximation of subharmonic functions of finite order in a half plane by the logarithm of the modulus of an entire function. It is shown that the problem of extension of a plurisubharmonic function may have no solution. |
| first_indexed | 2026-03-24T03:19:58Z |
| format | Article |
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| id | umjimathkievua-article-5655 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:19:58Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1b/f3b67c1c894b39961cd1c44ae1d9521b.pdf |
| spelling | umjimathkievua-article-56552020-03-19T09:15:19Z Extension and approximation of functions subharmonic in a half plane. Impossibility of extension of plurisubharmonic functions Продолжение и аппроксимация субгармонических функций в полуплоскости. Невозможность продолжения плюрисубгармонических функций Rashkovskii, A. Yu. Ronkin, L. I. Рашковський, А. Ю. Ронкін, Л. І. We construct different extensions of functions subharmonic in a half plane to the whole plane. The results obtained are applied to the approximation of subharmonic functions of finite order in a half plane by the logarithm of the modulus of an entire function. It is shown that the problem of extension of a plurisubharmonic function may have no solution. Будуються різного роду продовження субгармонічної в півплощині функції на всю площину. Одержані результати застосовуються для апроксимації субгармонічної функції скінченного порядку в півплощині логарифмом модуля цілої функції. Показано, що задача про продовження плюрисубгармонічної функції може не мати розв’язку. Institute of Mathematics, NAS of Ukraine 1994-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5655 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 8 (1994); 1017–1030 Український математичний журнал; Том 46 № 8 (1994); 1017–1030 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5655/7995 https://umj.imath.kiev.ua/index.php/umj/article/view/5655/7996 Copyright (c) 1994 Rashkovskii A. Yu.; Ronkin L. I. |
| spellingShingle | Rashkovskii, A. Yu. Ronkin, L. I. Рашковський, А. Ю. Ронкін, Л. І. Extension and approximation of functions subharmonic in a half plane. Impossibility of extension of plurisubharmonic functions |
| title | Extension and approximation of functions subharmonic in a half plane. Impossibility of extension of plurisubharmonic functions |
| title_alt | Продолжение и аппроксимация субгармонических функций в полуплоскости. Невозможность продолжения плюрисубгармонических функций |
| title_full | Extension and approximation of functions subharmonic in a half plane. Impossibility of extension of plurisubharmonic functions |
| title_fullStr | Extension and approximation of functions subharmonic in a half plane. Impossibility of extension of plurisubharmonic functions |
| title_full_unstemmed | Extension and approximation of functions subharmonic in a half plane. Impossibility of extension of plurisubharmonic functions |
| title_short | Extension and approximation of functions subharmonic in a half plane. Impossibility of extension of plurisubharmonic functions |
| title_sort | extension and approximation of functions subharmonic in a half plane. impossibility of extension of plurisubharmonic functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5655 |
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