KFU. Card publication. Hardy type inequalities and parametric Lamb equation

KAZAN
FEDERAL UNIVERSITY

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HARDY TYPE INEQUALITIES AND PARAMETRIC LAMB EQUATION

Form of presentation

Articles in international journals and collections

Year of publication

2020

Язык

английский

Authors, employees of KFU

Makarov Ruslan Valerevich, author

Nasibullin Ramil Gaysaevich, author

Bibliographic description in the original language

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

Annotation

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.

Keywords

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

The name of the journal

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

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

https://repository.kpfu.ru/eng/?p_id=236755&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Makarov Ruslan Valerevich	ru_RU
dc.contributor.author	Nasibullin Ramil Gaysaevich	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/eng/?p_id=236755&p_lang=2	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	Articles in international journals and collections	ru_RU