SHARP CONFORMALLY INVARIANT HARDY-TYPE INEQUALITIES WITH REMAINDERS

dc.contributor.author	Nasibullin R.G.
dc.date.accessioned	2022-02-09T20:47:04Z
dc.date.available	2022-02-09T20:47:04Z
dc.date.issued	2021
dc.identifier.issn	2077-9879
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/170261
dc.description.abstract	In the present paper we establish new Hardy-Maz'ya-type inequalities with remainders for all continuously differentiable functions with compact support in the half space R n+. The weight functions depend on the distance to the boundary or on the distance to the origin. Also new sharp Avkhadiev-Hardy-type inequalities involving the distance to the boundary or the hyperbolic radius are proved. We consider Avkhadiev-Hardy-type inequalities in simply and doubly connected plain domains and in tube-domains
dc.relation.ispartofseries	Eurasian Mathematical Journal
dc.subject	Distance function
dc.subject	Half space
dc.subject	Hardy inequality
dc.subject	Hyperbolic domain
dc.subject	Hyperbolic radius
dc.subject	Remainder terms
dc.subject	The poincare metric
dc.title	SHARP CONFORMALLY INVARIANT HARDY-TYPE INEQUALITIES WITH REMAINDERS
dc.type	Article
dc.relation.ispartofseries-issue	3
dc.relation.ispartofseries-volume	12
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	46
dc.source.id	SCOPUS20779879-2021-12-3-SID85123882892

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.