On the Hayman-Wu theorem for quasilines
For a function ω, we establish a condition sufficient for the sum ∑i, ω(diam φ(L i )) to be finite for any quasiconformal curve L i , simply connected domain Ω, and a function φ which conformally and univalently maps this domain onto the unit disk. Here, L i denote the components of Ω∩L....
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| Date: | 1996 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5286 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511503151529984 |
|---|---|
| author | Maimeskul, V. V. Маймескул, В. В. Маймескул, В. В. |
| author_facet | Maimeskul, V. V. Маймескул, В. В. Маймескул, В. В. |
| author_sort | Maimeskul, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:29:27Z |
| description | For a function ω, we establish a condition sufficient for the sum ∑i, ω(diam φ(L i )) to be finite for any quasiconformal curve L i , simply connected domain Ω, and a function φ which conformally and univalently maps this domain onto the unit disk. Here, L i denote the components of Ω∩L. |
| first_indexed | 2026-03-24T03:13:55Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5286 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:13:55Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/96/f4efdfb0026ea98b38a9c9320ceeae96.pdf |
| spelling | umjimathkievua-article-52862020-03-18T21:29:27Z On the Hayman-Wu theorem for quasilines О теореме Хеймана - By для квазилиний Maimeskul, V. V. Маймескул, В. В. Маймескул, В. В. For a function ω, we establish a condition sufficient for the sum ∑i, ω(diam φ(L i )) to be finite for any quasiconformal curve L i , simply connected domain Ω, and a function φ which conformally and univalently maps this domain onto the unit disk. Here, L i denote the components of Ω∩L. Одержано умову на функцію $ω$, що достатня для скінченності $∑_i, ω(\text{diam} φ(L_i ))$ для довільної квазіконформної кривої $L_i$, однозв'язної області $Ω$ та функції $ φ$ (яка конформно га однолисто відображає цю область на одиничний круг), де $L_i$ — компоненти множини $Ω ∩ L$. Institute of Mathematics, NAS of Ukraine 1996-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5286 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 6 (1996); 852-856 Український математичний журнал; Том 48 № 6 (1996); 852-856 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5286/7264 https://umj.imath.kiev.ua/index.php/umj/article/view/5286/7265 Copyright (c) 1996 Maimeskul V. V. |
| spellingShingle | Maimeskul, V. V. Маймескул, В. В. Маймескул, В. В. On the Hayman-Wu theorem for quasilines |
| title | On the Hayman-Wu theorem for quasilines |
| title_alt | О теореме Хеймана - By для квазилиний |
| title_full | On the Hayman-Wu theorem for quasilines |
| title_fullStr | On the Hayman-Wu theorem for quasilines |
| title_full_unstemmed | On the Hayman-Wu theorem for quasilines |
| title_short | On the Hayman-Wu theorem for quasilines |
| title_sort | on the hayman-wu theorem for quasilines |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5286 |
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