dc.contributor.author | Lehrbäck, Juha | |
dc.date.accessioned | 2015-12-14T12:27:35Z | |
dc.date.available | 2015-12-14T12:27:35Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Lehrbäck, J. (2014). Weighted Hardy inequalities beyond Lipschitz domains. <i>Proceedings of the American Mathematical Society</i>, <i>142</i>(5), 1705-1715. <a href="https://doi.org/10.1090/S0002-9939-2014-11904-6" target="_blank">https://doi.org/10.1090/S0002-9939-2014-11904-6</a> | |
dc.identifier.other | CONVID_23566205 | |
dc.identifier.other | TUTKAID_61145 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/48093 | |
dc.description.abstract | It is a well-known fact that in a Lipschitz domain Ω ⊂ R
n
a p-Hardy inequality, with weight dist(x, ∂Ω)β
, holds for all u ∈ C
∞0 (Ω)
whenever β < p − 1. We show that actually the same is true under
the sole assumption that the boundary of the domain satisfies a uniform
density condition with the exponent λ = n − 1. Corresponding results
also hold for smaller exponents, and, in fact, our methods work in general
metric spaces satisfying standard structural assumptions. | |
dc.language.iso | eng | |
dc.publisher | American Mathematical Society | |
dc.relation.ispartofseries | Proceedings of the American Mathematical Society | |
dc.subject.other | Hardyn epäyhtälö | |
dc.subject.other | metrinen avaruus | |
dc.subject.other | Hausdorff-sisältö | |
dc.subject.other | tasainen paksuus | |
dc.subject.other | Hardy inequality | |
dc.subject.other | metric space | |
dc.subject.other | Hausdorff content | |
dc.subject.other | uniform fatness | |
dc.title | Weighted Hardy inequalities beyond Lipschitz domains | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201512144007 | |
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 | 2015-12-14T10:15:13Z | |
dc.type.coar | journal article | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 1705-1715 | |
dc.relation.issn | 0002-9939 | |
dc.relation.numberinseries | 5 | |
dc.relation.volume | 142 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © 2014 American Mathematical Society. This is a final draft version of an article whose final and definitive form has been published by AMS. Published in this repository with the kind permission of the publisher. | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.doi | 10.1090/S0002-9939-2014-11904-6 | |