Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components

A. P. Kopylov

doi:10.1007/s10958-018-3814-0

Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components

A. P. Kopylov

Кафедра математического анализа ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

We study the boundary values of conformal mappings of plane finitely connected domains. We present a complete exposition of a theorem giving an exhaustive description of the boundary values of such mappings in terms of conformal moduli (extremal lengths) of pairs of boundary components of a domain of connectedness at most 3. Bibliography: 12 titles.

Язык оригинала	английский
Страницы (с-по)	181-188
Число страниц	8
Журнал	Journal of Mathematical Sciences (United States)
Том	231
Номер выпуска	2
DOI	https://doi.org/10.1007/s10958-018-3814-0
Состояние	Опубликовано - 1 мая 2018

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10.1007/s10958-018-3814-0

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Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components. / Kopylov, A. P.

В: Journal of Mathematical Sciences (United States), Том 231, № 2, 01.05.2018, стр. 181-188.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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