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dc.contributor.authorLehrbäck, Juha
dc.date.accessioned2019-06-27T08:43:22Z
dc.date.available2019-06-27T08:43:22Z
dc.date.issued2017
dc.identifier.citationLehrbäck, J. (2017). Hardy inequalities and Assouad dimensions. <i>Journal d'Analyse Mathématique</i>, <i>131</i>(1), 367-398. <a href="https://doi.org/10.1007/s11854-017-0013-8" target="_blank">https://doi.org/10.1007/s11854-017-0013-8</a>
dc.identifier.otherCONVID_26969127
dc.identifier.otherTUTKAID_73596
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/64862
dc.description.abstractWe establish both sufficient and necessary conditions for weighted Hardy inequalities in metric spaces in terms of Assouad (co)dimensions. Our sufficient conditions in the case where the complement is thin are new, even in euclidean spaces, while in the case of a thick complement, we give new formulations for previously known sufficient conditions which reveal a natural duality between these two cases. Our necessary conditions are rather straight-forward generalizations from the unweighted case but, together with some examples, indicate the essential sharpness of our results. In addition, we consider the mixed case in which the complement may contain both thick and thin parts.fi
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherHebrew University Magnes Press; Springer
dc.relation.ispartofseriesJournal d'Analyse Mathématique
dc.rightsIn Copyright
dc.subject.othermetric spaces, Hardy inequalities
dc.subject.otherAssouad (co)dimensions
dc.titleHardy inequalities and Assouad dimensions
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201906253430
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2019-06-25T12:15:09Z
dc.description.reviewstatuspeerReviewed
dc.format.pagerange367-398
dc.relation.issn0021-7670
dc.relation.numberinseries1
dc.relation.volume131
dc.type.versionacceptedVersion
dc.rights.copyright© Hebrew University Magnes Press 2017
dc.rights.accesslevelopenAccessfi
dc.format.contentfulltext
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1007/s11854-017-0013-8


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