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dc.contributor.authorKonyagin, Sergei
dc.contributor.authorQueffelec, Herve
dc.contributor.authorSaksman, Eero
dc.contributor.authorSeip, Kristian
dc.date.accessioned2022-02-28T14:12:18Z
dc.date.available2022-02-28T14:12:18Z
dc.date.created2021-12-03T23:09:17Z
dc.date.issued2022
dc.identifier.citationStudia Mathematica. 2022, 262 (2), 121-149.en_US
dc.identifier.issn0039-3223
dc.identifier.urihttps://hdl.handle.net/11250/2981780
dc.description.abstractWe prove that the norm of the Riesz projection from L∞(Tn) to Lp(Tn) is 1 for all n≥1 only if p≤2, thus solving a problem posed by Marzo and Seip in 2011. This shows that Hp(T∞) does not contain the dual space of H1(T∞) for any p>2. We then note that the dual of H1(T∞) contains, via the Bohr lift, the space of Dirichlet series in BMOA of the right half-plane. We give several conditions showing how this BMOA space relates to other spaces of Dirichlet series. Finally, relating the partial sum operator for Dirichlet series to Riesz projection on T, we compute its Lp norm when 1<p<∞, and we use this result to show that the L∞ norm of the Nth partial sum of a bounded Dirichlet series over d-smooth numbers is of order loglogN.en_US
dc.language.isoengen_US
dc.publisherInstytut Matematycznyen_US
dc.titleRiesz projection and bounded mean oscillation for Dirichlet seriesen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionacceptedVersionen_US
dc.rights.holderThis is the authors' manuscript to an article published by Instytut Matematycznyen_US
dc.source.pagenumber121-149en_US
dc.source.volume262en_US
dc.source.journalStudia Mathematicaen_US
dc.source.issue2en_US
dc.identifier.doi10.4064/sm200601-22-5
dc.identifier.cristin1964653
dc.relation.projectNorges forskningsråd: 275113en_US
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


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