КФУ. Карточка публикации. Hardy type inequalities and parametric Lamb equation

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HARDY TYPE INEQUALITIES AND PARAMETRIC LAMB EQUATION

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2020

Язык

английский

Авторы, сотрудники КФУ

Макаров Руслан Валерьевич, автор

Насибуллин Рамиль Гайсаевич, автор

Библиографическое описание на языке оригинала

Makarov R.V, Nasibullin R.G., Hardy type inequalities and parametric Lamb equation//Indagationes Mathematicae. - 2020. - Vol., Is.. - .

Аннотация

This paper is devoted to Hardy type inequalities with remainders for compactly supported smooth functions on open sets in the Euclidean space. We establish new inequalities with weight functions depending on the distance function to the boundary of the domain. One-dimensional and inequalities and their multidimensional analogues are proved. We consider spatial inequalities in open convex domains with the finite inner radius. Constants in these inequalities depend on the roots of parametric Lamb equation for the Bessel function and turn out to be sharp in some particular cases.

Ключевые слова

Hardy type inequality, Distance to a boundary, Finite inner radius, Additional term, Bessel function

Название журнала

Indagationes Mathematicae

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85086714286&doi=10.1016%2fj.indag.2020.06.004&partnerID=40&md5=7e97242fe242b51f26d10b350bfda3d1

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https://repository.kpfu.ru/?p_id=236755

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Макаров Руслан Валерьевич	ru_RU
dc.contributor.author	Насибуллин Рамиль Гайсаевич	ru_RU
dc.date.accessioned	2020-01-01T00:00:00Z	ru_RU
dc.date.available	2020-01-01T00:00:00Z	ru_RU
dc.date.issued	2020	ru_RU
dc.identifier.citation	Makarov R.V, Nasibullin R.G., Hardy type inequalities and parametric Lamb equation//Indagationes Mathematicae. - 2020. - Vol., Is.. - .	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=236755	ru_RU
dc.description.abstract	Indagationes Mathematicae	ru_RU
dc.description.abstract	This paper is devoted to Hardy type inequalities with remainders for compactly supported smooth functions on open sets in the Euclidean space. We establish new inequalities with weight functions depending on the distance function to the boundary of the domain. One-dimensional and inequalities and their multidimensional analogues are proved. We consider spatial inequalities in open convex domains with the finite inner radius. Constants in these inequalities depend on the roots of parametric Lamb equation for the Bessel function and turn out to be sharp in some particular cases.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Hardy type inequality	ru_RU
dc.subject	Distance to a boundary	ru_RU
dc.subject	Finite inner radius	ru_RU
dc.subject	Additional term	ru_RU
dc.subject	Bessel function	ru_RU
dc.title	Hardy type inequalities and parametric Lamb equation	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU