dc.contributor.author | Brevig, Ole Fredrik | |
dc.date.accessioned | 2018-04-05T08:59:39Z | |
dc.date.available | 2018-04-05T08:59:39Z | |
dc.date.created | 2017-12-13T13:01:53Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Bulletin of the London Mathematical Society. 2017, 49 (6), 965-978. | nb_NO |
dc.identifier.issn | 0024-6093 | |
dc.identifier.uri | http://hdl.handle.net/11250/2492763 | |
dc.description.abstract | Let H 2 denote the Hardy space of Dirichlet series f ( s ) = ∑ n ⩾ 1 a n n − s with square summable coefficients and suppose that φ is a symbol generating a composition operator on H 2 by C φ ( f ) = f ∘ φ . Let ζ denote the Riemann zeta function and α 0 = 1.48 … the unique positive solution of the equation α ζ ( 1 + α ) = 2 . We obtain sharp upper bounds for the norm of C φ on H 2 when 0 < Re φ ( + ∞ ) − 1 / 2 ⩽ α 0 , by relating such sharp upper bounds to the best constant in a family of discrete Hilbert‐type inequalities. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Wiley | nb_NO |
dc.title | Sharp norm estimates for composition operators and Hilbert-type inequalities | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 965-978 | nb_NO |
dc.source.volume | 49 | nb_NO |
dc.source.journal | Bulletin of the London Mathematical Society | nb_NO |
dc.source.issue | 6 | nb_NO |
dc.identifier.doi | 10.1112/blms.12092 | |
dc.identifier.cristin | 1526773 | |
dc.relation.project | Norges forskningsråd: 227768 | nb_NO |
dc.description.localcode | This is the peer reviewed version of the following article: [Sharp norm estimates for composition operators and Hilbert‐type inequalities], which has been published in final form at [https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/blms.12092]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |