On the curved wedge condition and the continuity moduli of conformal mappings

A Jordan curve $L$ is studied, which satisfies an interior or exterior wedge condition for wedges of various geometric forms. We obtain estimates of the continuity moduli for the conformal mappings of the exterior (interior) of $L$ onto the exterior (interior) of the unit disk.

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Date:1993
Main Authors: Bely, V. I., Pritsker, I. E., Белый, В. И., Прицкер, И. Е.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1993
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5865
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Bely, V. I.
Pritsker, I. E.
Белый, В. И.
Прицкер, И. Е.
Белый, В. И.
Прицкер, И. Е.
author_facet Bely, V. I.
Pritsker, I. E.
Белый, В. И.
Прицкер, И. Е.
Белый, В. И.
Прицкер, И. Е.
author_sort Bely, V. I.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-19T09:19:41Z
description A Jordan curve $L$ is studied, which satisfies an interior or exterior wedge condition for wedges of various geometric forms. We obtain estimates of the continuity moduli for the conformal mappings of the exterior (interior) of $L$ onto the exterior (interior) of the unit disk.
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spelling umjimathkievua-article-58652020-03-19T09:19:41Z On the curved wedge condition and the continuity moduli of conformal mappings Об условии криволинейного клина и модулях непрерывности конформных отображений Bely, V. I. Pritsker, I. E. Белый, В. И. Прицкер, И. Е. Белый, В. И. Прицкер, И. Е. A Jordan curve $L$ is studied, which satisfies an interior or exterior wedge condition for wedges of various geometric forms. We obtain estimates of the continuity moduli for the conformal mappings of the exterior (interior) of $L$ onto the exterior (interior) of the unit disk. Вивчається жорданова крива $L$, що задовольняє внутрішню або зовнішню умови клину різно­манітної геометричної форми. Одержані оцінки для модулів неперервності конформних відоб­ражень внутрішності та зовнішності $L$ відповідно на внутрішність та зовнішність одиничного кола. Institute of Mathematics, NAS of Ukraine 1993-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5865 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 6 (1993); 763–769 Український математичний журнал; Том 45 № 6 (1993); 763–769 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5865/8413 https://umj.imath.kiev.ua/index.php/umj/article/view/5865/8414 Copyright (c) 1993 Bely V. I.; Pritsker I. E.
spellingShingle Bely, V. I.
Pritsker, I. E.
Белый, В. И.
Прицкер, И. Е.
Белый, В. И.
Прицкер, И. Е.
On the curved wedge condition and the continuity moduli of conformal mappings
title On the curved wedge condition and the continuity moduli of conformal mappings
title_alt Об условии криволинейного клина и модулях непрерывности конформных отображений
title_full On the curved wedge condition and the continuity moduli of conformal mappings
title_fullStr On the curved wedge condition and the continuity moduli of conformal mappings
title_full_unstemmed On the curved wedge condition and the continuity moduli of conformal mappings
title_short On the curved wedge condition and the continuity moduli of conformal mappings
title_sort on the curved wedge condition and the continuity moduli of conformal mappings
url https://umj.imath.kiev.ua/index.php/umj/article/view/5865
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