Weighted Hardy Type Inequalities and Parametric Lamb Equation

dc.contributor.author	Makarov R.V.
dc.contributor.author	Nasibullin R.G.
dc.contributor.author	Shaymardanova G.R.
dc.date.accessioned	2021-02-25T20:51:19Z
dc.date.available	2021-02-25T20:51:19Z
dc.date.issued	2020
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/162531
dc.description.abstract	© 2020, Pleiades Publishing, Ltd. This paper is devoted to weighted Hardy type inequalities. Using the Bessel functions, we prove one-dimensional inequalities and give some remarks on extensions of the one-dimensional inequalities to n-dimensional convex domains with finite inner radius. Constants in those inequalities depend on the roots of parametric Lamb equation for the Bessel function and turn out to be sharp in some particular cases. We establish the inequalities in Lp spaces, with p ∈ [1,∞). Also newL2- inequality with sharp constants is obtained.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	Bessel function
dc.subject	convex domain
dc.subject	distance to a boundary
dc.subject	Hardy inequality
dc.subject	inner radius
dc.subject	Lamb constant
dc.title	Weighted Hardy Type Inequalities and Parametric Lamb Equation
dc.type	Article
dc.relation.ispartofseries-issue	11
dc.relation.ispartofseries-volume	41
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	2198
dc.source.id	SCOPUS19950802-2020-41-11-SID85098493333

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