dc.contributor.author | D'Onofrio, Luigi | |
dc.contributor.author | Greco, Luigi | |
dc.contributor.author | Sbordone, Carlo | |
dc.contributor.author | Schiattarella, Roberta | |
dc.contributor.author | Perfekt, Karl-Mikael | |
dc.date.accessioned | 2023-01-30T13:52:59Z | |
dc.date.available | 2023-01-30T13:52:59Z | |
dc.date.created | 2022-10-26T16:08:03Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0294-1449 | |
dc.identifier.uri | https://hdl.handle.net/11250/3047194 | |
dc.description.abstract | Given a Banach space E with a supremum-type norm induced by a collection of operators, we prove that E is a dual space and provide an atomic decomposition of its predual. We apply this result, and some results obtained previously by one of the authors, to the function space �B introduced recently by Bourgain, Brezis, and Mironescu. This yields an atomic decomposition of the predual �⁎B⁎, the biduality result that �0⁎=�⁎B0⁎=B⁎ and �⁎⁎=�B⁎⁎=B, and a formula for the distance from an element �∈�f∈B to �0B0. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | EMS Press | en_US |
dc.title | Atomic decompositions, two stars theorems, and distances for the Bourgain–Brezis–Mironescu space and other big spaces | en_US |
dc.title.alternative | Atomic decompositions, two stars theorems, and distances for the Bourgain–Brezis–Mironescu space and other big spaces | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | This version will not be available due to the publisher's copyright. | en_US |
dc.source.journal | Annales de l'Institut Henri Poincare. Analyse non linéar | en_US |
dc.identifier.doi | 10.1016/J.ANIHPC.2020.01.004 | |
dc.identifier.cristin | 2065351 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |