Approximation of functions subharmonic in a disk by the logarithm of the modulus of an analytic function
Yulmukhametov's result concerning the approximation of a function subharmonic in a bounded domain by the logarithm of the modulus of an analytic function is supplemented with an estimate of the exceptional set in the important case of a disk. We show that this approximation is unimprovable...
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| Datum: | 1994 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5661 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511887500771328 |
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| author | Girnyk, M. A. Гирнык, М. А. Гирнык, М. А. |
| author_facet | Girnyk, M. A. Гирнык, М. А. Гирнык, М. А. |
| author_sort | Girnyk, M. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:15:19Z |
| description | Yulmukhametov's result concerning the approximation of a function subharmonic in a bounded domain by the logarithm of the modulus of an analytic function is supplemented with an estimate of the exceptional set in the important case of a disk. We show that this approximation is unimprovable in a certain sense. |
| first_indexed | 2026-03-24T03:20:02Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5661 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:02Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/04/2721f0ca7bfe34b8ab6f4a5bc5e3e604.pdf |
| spelling | umjimathkievua-article-56612020-03-19T09:15:19Z Approximation of functions subharmonic in a disk by the logarithm of the modulus of an analytic function Приближение функции, субгармонической в круге, логарифмом модуля аналитической функции Girnyk, M. A. Гирнык, М. А. Гирнык, М. А. Yulmukhametov's result concerning the approximation of a function subharmonic in a bounded domain by the logarithm of the modulus of an analytic function is supplemented with an estimate of the exceptional set in the important case of a disk. We show that this approximation is unimprovable in a certain sense. Результат P. C. Юлмухаметова про наближення субгармонічної в обмеженій області функції логарифмом модуля аналітичної функції у важливому випадку круга доповнено оцінкою виняткової множини. Показано також непокращуваність у певному сенсі такої апроксимації. Institute of Mathematics, NAS of Ukraine 1994-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5661 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 8 (1994); 1080–1083 Український математичний журнал; Том 46 № 8 (1994); 1080–1083 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5661/8007 https://umj.imath.kiev.ua/index.php/umj/article/view/5661/8008 Copyright (c) 1994 Girnyk M. A. |
| spellingShingle | Girnyk, M. A. Гирнык, М. А. Гирнык, М. А. Approximation of functions subharmonic in a disk by the logarithm of the modulus of an analytic function |
| title | Approximation of functions subharmonic in a disk by the logarithm of the modulus of an analytic function |
| title_alt | Приближение функции, субгармонической в круге, логарифмом модуля аналитической функции |
| title_full | Approximation of functions subharmonic in a disk by the logarithm of the modulus of an analytic function |
| title_fullStr | Approximation of functions subharmonic in a disk by the logarithm of the modulus of an analytic function |
| title_full_unstemmed | Approximation of functions subharmonic in a disk by the logarithm of the modulus of an analytic function |
| title_short | Approximation of functions subharmonic in a disk by the logarithm of the modulus of an analytic function |
| title_sort | approximation of functions subharmonic in a disk by the logarithm of the modulus of an analytic function |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5661 |
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