Self-improvement of weighted pointwise inequalities on open sets

Eriksson-Bique, Sylvester; Lehrbäck, Juha; Vähäkangas, Antti V.

doi:10.1016/j.jfa.2020.108691

dc.contributor.author	Eriksson-Bique, Sylvester
dc.contributor.author	Lehrbäck, Juha
dc.contributor.author	Vähäkangas, Antti V.
dc.date.accessioned	2020-07-01T08:38:45Z
dc.date.available	2020-07-01T08:38:45Z
dc.date.issued	2020
dc.identifier.citation	Eriksson-Bique, S., Lehrbäck, J., & Vähäkangas, A. V. (2020). Self-improvement of weighted pointwise inequalities on open sets. <i>Journal of Functional Analysis</i>, <i>279</i>, Article 108691. <a href="https://doi.org/10.1016/j.jfa.2020.108691" target="_blank">https://doi.org/10.1016/j.jfa.2020.108691</a>
dc.identifier.other	CONVID_36039308
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/71007
dc.description.abstract	We prove a general self-improvement property for a family of weighted pointwise inequalities on open sets, including pointwise Hardy inequalities with distance weights. For this purpose we introduce and study the classes of p-Poincaré and p-Hardy weights for an open set Ω⊂X, where X is a metric measure space. We also apply the self-improvement of weighted pointwise Hardy inequalities in connection with usual integral versions of Hardy inequalities.	en
dc.format.mimetype	application/pdf
dc.language	eng
dc.language.iso	eng
dc.publisher	Elsevier BV
dc.relation.ispartofseries	Journal of Functional Analysis
dc.relation.uri	http://dx.doi.org/10.1016/j.jfa.2020.108691
dc.rights	CC BY-NC-ND 4.0
dc.subject.other	metrinen avaruus
dc.subject.other	Hardyn epäyhtälö
dc.subject.other	self-improvement
dc.subject.other	pointwise Hardy inequality
dc.subject.other	metric space
dc.subject.other	weight
dc.subject.other	maximal operator
dc.title	Self-improvement of weighted pointwise inequalities on open sets
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-202007015190
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Analyysin ja dynamiikan tutkimuksen huippuyksikkö	fi
dc.contributor.oppiaine	Mathematics	en
dc.contributor.oppiaine	Analysis and Dynamics Research (Centre of Excellence)	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.relation.issn	0022-1236
dc.relation.volume	279
dc.type.version	acceptedVersion
dc.rights.copyright	© 2020 Elsevier Inc. All rights reserved.
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.format.content	fulltext
dc.rights.url	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi	10.1016/j.jfa.2020.108691
jyx.fundinginformation	Sylvester Eriksson-Bique was partially supported by the National Science Foundation [grant number DMS#-1704215].
dc.type.okm	A1