dc.contributor.author | Rashkovskii, Alexander | |
dc.date.accessioned | 2021-12-21T09:31:54Z | |
dc.date.available | 2021-12-21T09:31:54Z | |
dc.date.created | 2021-12-07T13:02:58Z | |
dc.date.issued | 2021-03 | |
dc.identifier.citation | Rashkovskii, A. (2021) Interpolation of weighted extremal functions. Arnold Mathematical Journal, 7 (3), 407-417. | en_US |
dc.identifier.issn | 2199-6792 | |
dc.identifier.uri | https://hdl.handle.net/11250/2835194 | |
dc.description.abstract | An approach to interpolation of compact subsets of Cn, including Brunn–Minkowski type inequalities for the capacities of the interpolating sets, was developed in [8] by means of plurisubharmonic geodesics between relative extremal functions of the given sets. Here we show that a much better control can be achieved by means of the geodesics between weighted relative extremal functions. In particular, we establish convexity properties of the capacities that are stronger than those given by the Brunn–Minkowski inequalities. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer Nature Switzerland AG | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.subject | matematikk | en_US |
dc.title | Interpolation of weighted extremal functions | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | © The Author(s) 2021 | en_US |
dc.subject.nsi | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410 | en_US |
dc.source.pagenumber | 407-417 | en_US |
dc.source.volume | 7 | en_US |
dc.source.journal | Arnold Mathematical Journal | en_US |
dc.source.issue | 3 | en_US |
dc.identifier.doi | 10.1007%2Fs40598-021-00175-x | |
dc.identifier.cristin | 1965575 | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |