Estimate of the modulus of continuity of a cauchy-type integral in a domain and on its boundary

We estimate the modulus of continuity of a Cauchy-type integral in a closed domain and its limit values on the boundary in the case where the boundary of the domain is an arbitrary closed rectifiable Jordan curve.

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Datum:1996
Hauptverfasser: Gerus, O. F., Герус, О. Ф.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1996
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5217
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

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Ukrains’kyi Matematychnyi Zhurnal
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author Gerus, O. F.
Герус, О. Ф.
Герус, О. Ф.
author_facet Gerus, O. F.
Герус, О. Ф.
Герус, О. Ф.
author_sort Gerus, O. F.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2020-03-18T21:27:31Z
description We estimate the modulus of continuity of a Cauchy-type integral in a closed domain and its limit values on the boundary in the case where the boundary of the domain is an arbitrary closed rectifiable Jordan curve.
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spelling umjimathkievua-article-52172020-03-18T21:27:31Z Estimate of the modulus of continuity of a cauchy-type integral in a domain and on its boundary Оценка модуля непрерывности интеграла типа Коші в области и на ее границе Gerus, O. F. Герус, О. Ф. Герус, О. Ф. We estimate the modulus of continuity of a Cauchy-type integral in a closed domain and its limit values on the boundary in the case where the boundary of the domain is an arbitrary closed rectifiable Jordan curve. Одержано оцінку модулів неперервності інтеграла типу Коші в замкненій області та його граничних значень на її межі прй умові, що межа області є довільною замкненою жордановою спрямлюваною кривою. Institute of Mathematics, NAS of Ukraine 1996-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5217 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 10 (1996); 1321-1328 Український математичний журнал; Том 48 № 10 (1996); 1321-1328 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5217/7128 https://umj.imath.kiev.ua/index.php/umj/article/view/5217/7129 Copyright (c) 1996 Gerus O. F.
spellingShingle Gerus, O. F.
Герус, О. Ф.
Герус, О. Ф.
Estimate of the modulus of continuity of a cauchy-type integral in a domain and on its boundary
title Estimate of the modulus of continuity of a cauchy-type integral in a domain and on its boundary
title_alt Оценка модуля непрерывности интеграла типа Коші в области и на ее границе
title_full Estimate of the modulus of continuity of a cauchy-type integral in a domain and on its boundary
title_fullStr Estimate of the modulus of continuity of a cauchy-type integral in a domain and on its boundary
title_full_unstemmed Estimate of the modulus of continuity of a cauchy-type integral in a domain and on its boundary
title_short Estimate of the modulus of continuity of a cauchy-type integral in a domain and on its boundary
title_sort estimate of the modulus of continuity of a cauchy-type integral in a domain and on its boundary
url https://umj.imath.kiev.ua/index.php/umj/article/view/5217
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