Explicit relations for the reduced module and harmonic measure
Exact relations are established for the reduced modules of the families of curves separating certain connected subsets in arbitrary connected domains. New explicit expressions for the harmonic measure of a connected boundary subset are obtained as corollaries.
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| Дата: | 1993 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1993
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5844 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512065540587520 |
|---|---|
| author | Bely, V. I. Kravchuk, E. V. Белый, В. И. Кравчук, Е. В. Белый, В. И. Кравчук, Е. В. |
| author_facet | Bely, V. I. Kravchuk, E. V. Белый, В. И. Кравчук, Е. В. Белый, В. И. Кравчук, Е. В. |
| author_sort | Bely, V. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:55Z |
| description | Exact relations are established for the reduced modules of the families of curves separating certain connected subsets in arbitrary connected domains. New explicit expressions for the harmonic measure of a connected boundary subset are obtained as corollaries. |
| first_indexed | 2026-03-24T03:22:52Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5844 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:52Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7b/85989b0a3c980aaf2ab540b3de83557b.pdf |
| spelling | umjimathkievua-article-58442020-03-19T09:18:55Z Explicit relations for the reduced module and harmonic measure Некоторые явные соотношения для приведенного модуля и гармонической меры Bely, V. I. Kravchuk, E. V. Белый, В. И. Кравчук, Е. В. Белый, В. И. Кравчук, Е. В. Exact relations are established for the reduced modules of the families of curves separating certain connected subsets in arbitrary connected domains. New explicit expressions for the harmonic measure of a connected boundary subset are obtained as corollaries. Установлены точные формулы для приведенных модулей семейств кривых, отделяющих в произвольных односвязных областях некоторые связные подмножества. В качестве следствий получены новые явные выражения для гармонической меры связного граничного подмножества. Institute of Mathematics, NAS of Ukraine 1993-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5844 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 4 (1993); 576–578 Український математичний журнал; Том 45 № 4 (1993); 576–578 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5844/8371 https://umj.imath.kiev.ua/index.php/umj/article/view/5844/8372 Copyright (c) 1993 Bely V. I.; Kravchuk E. V. |
| spellingShingle | Bely, V. I. Kravchuk, E. V. Белый, В. И. Кравчук, Е. В. Белый, В. И. Кравчук, Е. В. Explicit relations for the reduced module and harmonic measure |
| title | Explicit relations for the reduced module and harmonic measure |
| title_alt | Некоторые явные соотношения для приведенного модуля и гармонической меры |
| title_full | Explicit relations for the reduced module and harmonic measure |
| title_fullStr | Explicit relations for the reduced module and harmonic measure |
| title_full_unstemmed | Explicit relations for the reduced module and harmonic measure |
| title_short | Explicit relations for the reduced module and harmonic measure |
| title_sort | explicit relations for the reduced module and harmonic measure |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5844 |
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