Maximal function estimates and self-improvement results for Poincaré inequalities

Kinnunen, Juha; Lehrbäck, Juha; Vähäkangas, Antti; Zhong, Xiao

doi:10.1007/s00229-018-1016-1

dc.contributor.author	Kinnunen, Juha
dc.contributor.author	Lehrbäck, Juha
dc.contributor.author	Vähäkangas, Antti
dc.contributor.author	Zhong, Xiao
dc.date.accessioned	2019-06-28T08:54:05Z
dc.date.available	2019-06-28T08:54:05Z
dc.date.issued	2019
dc.identifier.citation	Kinnunen, J., Lehrbäck, J., Vähäkangas, A., & Zhong, X. (2019). Maximal function estimates and self-improvement results for Poincaré inequalities. <i>Manuscripta Mathematica</i>, <i>158</i>(1-2), 119-147. <a href="https://doi.org/10.1007/s00229-018-1016-1" target="_blank">https://doi.org/10.1007/s00229-018-1016-1</a>
dc.identifier.other	CONVID_27995120
dc.identifier.other	TUTKAID_77328
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/64914
dc.description.abstract	Our main result is an estimate for a sharp maximal function, which implies a Keith–Zhong type self-improvement property of Poincaré inequalities related to differentiable structures on metric measure spaces. As an application, we give structure independent representation for Sobolev norms and universality results for Sobolev spaces.	fi
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Springer Berlin Heidelberg
dc.relation.ispartofseries	Manuscripta Mathematica
dc.rights	In Copyright
dc.subject.other	harmonic analysis
dc.subject.other	inequalities
dc.title	Maximal function estimates and self-improvement results for Poincaré inequalities
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-201906253440
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	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.date.updated	2019-06-25T12:15:30Z
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	119-147
dc.relation.issn	0025-2611
dc.relation.numberinseries	1-2
dc.relation.volume	158
dc.type.version	acceptedVersion
dc.rights.copyright	© Springer-Verlag GmbH Germany, part of Springer Nature 2018
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	harmoninen analyysi
dc.subject.yso	funktionaalianalyysi
dc.subject.yso	epäyhtälöt
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p28124
jyx.subject.uri	http://www.yso.fi/onto/yso/p17780
jyx.subject.uri	http://www.yso.fi/onto/yso/p15720
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1007/s00229-018-1016-1