КФУ. Карточка публикации. Integral inequalities in domains of hyperbolic type and their applications

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INTEGRAL INEQUALITIES IN DOMAINS OF HYPERBOLIC TYPE AND THEIR APPLICATIONS

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2015

Язык

английский

Авторы, сотрудники КФУ

Авхадиев Фарит Габидинович, автор

Библиографическое описание на языке оригинала

F.G. Avkhadiev. Integral inequalities in domains of hyperbolic type and their applications // Sb. Mathem., V. 206, No. 12 (2015), pp. 1657-1681

Аннотация

New integral Hardy-type inequalities for compactly supported functions in arbitrary plane domains of hyperbolic type are given. Special cases for domains with uniformly perfect boundaries are studied and some applications are considered. The proofs depend substantially on fundamental equations and formulae for the hyperbolic metric, and use is also made of characteristics of domains in terms of moduli. These date back to Teichmüller. Bibliography: 20 titles.

Ключевые слова

Hardy inequality, domain of hyperbolic type, uniformly perfect set, Poincare metric

Название журнала

Sbornic Mathematics

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https://repository.kpfu.ru/?p_id=127608

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Авхадиев Фарит Габидинович	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	F.G. Avkhadiev. Integral inequalities in domains of hyperbolic type and their applications // Sb. Mathem., V. 206, No. 12 (2015), pp. 1657-1681	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=127608	ru_RU
dc.description.abstract	Sbornic Mathematics	ru_RU
dc.description.abstract	New integral Hardy-type inequalities for compactly supported functions in arbitrary plane domains of hyperbolic type are given. Special cases for domains with uniformly perfect boundaries are studied and some applications are considered. The proofs depend substantially on fundamental equations and formulae for the hyperbolic metric, and use is also made of characteristics of domains in terms of moduli. These date back to Teichmüller. Bibliography: 20 titles.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Hardy inequality	ru_RU
dc.subject	domain of hyperbolic type	ru_RU
dc.subject	uniformly perfect set	ru_RU
dc.subject	Poincare metric	ru_RU
dc.title	Integral inequalities in domains of hyperbolic type and their applications	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU