Hardy type inequalities and parametric Lamb equation

dc.contributor.author	Makarov R.V.
dc.contributor.author	Nasibullin R.G.
dc.date.accessioned	2021-02-24T20:32:26Z
dc.date.available	2021-02-24T20:32:26Z
dc.date.issued	2020
dc.identifier.issn	0019-3577
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/160782
dc.description.abstract	© 2020 Royal Dutch Mathematical Society (KWG) 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 L1 and Lp 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.
dc.relation.ispartofseries	Indagationes Mathematicae
dc.subject	Additional term
dc.subject	Bessel function
dc.subject	Distance to a boundary
dc.subject	Finite inner radius
dc.subject	Hardy type inequality
dc.title	Hardy type inequalities and parametric Lamb equation
dc.type	Article
dc.collection	Публикации сотрудников КФУ
dc.source.id	SCOPUS00193577-2020-SID85086714286

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.