KFU. Card publication. Integral inequalities in domains of hyperbolic type and their applications

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FEDERAL UNIVERSITY

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INTEGRAL INEQUALITIES IN DOMAINS OF HYPERBOLIC TYPE AND THEIR APPLICATIONS

Form of presentation

Articles in international journals and collections

Year of publication

2015

Язык

английский

Authors, employees of KFU

Avkhadiev Farit Gabidinovich, author

Bibliographic description in the original language

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

Annotation

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.

Keywords

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

The name of the journal

Sbornic Mathematics

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=127608&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Avkhadiev Farit Gabidinovich	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/eng/?p_id=127608&p_lang=2	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	Articles in international journals and collections	ru_RU