On the degree of holomorphic mappings from an annulus into an annulus
We establish an estimate for the degree of a holomorphic mapping f : K 1 → K 2 (here, K 1 and K 2 are doubly-connected domains) in terms of the modulus of a family of curves in K 2. This estimate generalizes a result obtained by Kobayashi.
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| Date: | 2004 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3828 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509959837450240 |
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| author | Nguyen, Doan Tuan Pham, Viet Duc Нгуєн, Доан Туан Фам, В'єт Дік |
| author_facet | Nguyen, Doan Tuan Pham, Viet Duc Нгуєн, Доан Туан Фам, В'єт Дік |
| author_sort | Nguyen, Doan Tuan |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:11:24Z |
| description | We establish an estimate for the degree of a holomorphic mapping f : K 1 → K 2 (here, K 1 and K 2 are doubly-connected domains) in terms of the modulus of a family of curves in K 2. This estimate generalizes a result obtained by Kobayashi. |
| first_indexed | 2026-03-24T02:49:24Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3828 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:49:24Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/bf/5ee29ec606c49b863e1b90be8bd3b3bf.pdf |
| spelling | umjimathkievua-article-38282020-03-18T20:11:24Z On the degree of holomorphic mappings from an annulus into an annulus Про степені голоморфних відображень із кільця у кільце Nguyen, Doan Tuan Pham, Viet Duc Нгуєн, Доан Туан Фам, В'єт Дік We establish an estimate for the degree of a holomorphic mapping f : K 1 → K 2 (here, K 1 and K 2 are doubly-connected domains) in terms of the modulus of a family of curves in K 2. This estimate generalizes a result obtained by Kobayashi. Встановлено оцінку степеня голоморфного відображення $f : K_1 → K_2$($K_1, K_2$ — двозв'язні області) в термінах модуля сімей кривих у $K_2$, яка узагальнює один результат Кобаясі. Institute of Mathematics, NAS of Ukraine 2004-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3828 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 8 (2004); 1135–1138 Український математичний журнал; Том 56 № 8 (2004); 1135–1138 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/3828/4376 https://umj.imath.kiev.ua/index.php/umj/article/view/3828/4377 Copyright (c) 2004 Nguyen Doan Tuan; Pham Viet Duc |
| spellingShingle | Nguyen, Doan Tuan Pham, Viet Duc Нгуєн, Доан Туан Фам, В'єт Дік On the degree of holomorphic mappings from an annulus into an annulus |
| title | On the degree of holomorphic mappings from an annulus into an annulus |
| title_alt | Про степені голоморфних відображень із кільця у кільце |
| title_full | On the degree of holomorphic mappings from an annulus into an annulus |
| title_fullStr | On the degree of holomorphic mappings from an annulus into an annulus |
| title_full_unstemmed | On the degree of holomorphic mappings from an annulus into an annulus |
| title_short | On the degree of holomorphic mappings from an annulus into an annulus |
| title_sort | on the degree of holomorphic mappings from an annulus into an annulus |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3828 |
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