Hardy-type inequalities in arbitrary domains with finite inner radius

dc.contributor.author	Avkhadiev F.
dc.contributor.author	Nasibullin R.
dc.date.accessioned	2018-09-18T20:31:43Z
dc.date.available	2018-09-18T20:31:43Z
dc.date.issued	2014
dc.identifier.issn	0037-4466
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/140810
dc.description.abstract	We prove Hardy-type inequalities in spatial domains with finite inner radius, in particular, one-dimensional Lp-inequalities and their multidimensional analogs. The powers of the distance to the boundary of a set occur in the weight functions of spatial inequalities. It is demonstrated that the constant is sharp of the L1-inequalities in one-dimensional and multidimensional cases for convex domains. © 2014 Pleiades Publishing, Ltd.
dc.relation.ispartofseries	Siberian Mathematical Journal
dc.subject	distance to a boundary
dc.subject	finite inner radius
dc.subject	Hardy-type inequality
dc.title	Hardy-type inequalities in arbitrary domains with finite inner radius
dc.type	Article
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	55
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	191
dc.source.id	SCOPUS00374466-2014-55-2-SID84899687651

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