Removable singularities for div v=f in weighted Lebesgue spaces
| dc.contributor.author | Moonens, Laurent | |
| dc.contributor.author | Russ, Emmanuel | |
| dc.contributor.author | Tuominen, Heli | |
| dc.date.accessioned | 2018-07-10T06:23:48Z | |
| dc.date.available | 2018-07-10T06:23:48Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Moonens, L., Russ, E., & Tuominen, H. (2018). Removable singularities for div v=f in weighted Lebesgue spaces. <i>Indiana University Mathematics Journal</i>, <i>67</i>(2), 859-887. <a href="https://doi.org/10.1512/iumj.2018.67.6310" target="_blank">https://doi.org/10.1512/iumj.2018.67.6310</a> | |
| dc.identifier.other | CONVID_26359842 | |
| dc.identifier.other | TUTKAID_71959 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/58890 | |
| dc.description.abstract | Let w ∈ L 1 loc(R n) be a positive weight. Assuming a doubling condition and an L 1 Poincar´e inequality on balls for the measure w(x)dx, as well as a growth condition on w, we prove that the compact subsets of R n which are removable for the distributional divergence in L∞ 1/w are exactly those with vanishing weighted Hausdorff measure. We also give such a characterization for L p 1/w, 1 < p < +∞, in terms of capacity. This generalizes results due to Phuc and Torres, Silhavy and the first author. | fi |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Indiana University | |
| dc.relation.ispartofseries | Indiana University Mathematics Journal | |
| dc.rights | In Copyright | |
| dc.subject.other | removable singularities | |
| dc.subject.other | weighted Lebesgue spaces | |
| dc.title | Removable singularities for div v=f in weighted Lebesgue spaces | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201805112536 | |
| 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 | 2018-05-11T12:15:10Z | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 859-887 | |
| dc.relation.issn | 0022-2518 | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 67 | |
| dc.type.version | submittedVersion | |
| dc.rights.copyright | © the Authors & Indiana University, 2018 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | funktionaalianalyysi | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p17780 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1512/iumj.2018.67.6310 |
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