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dc.contributor.authorBayart, Frédéric
dc.contributor.authorBrevig, Ole Fredrik
dc.contributor.authorHaimi, Antti
dc.contributor.authorOrtega-Cerdà, Joaquim
dc.contributor.authorPerfekt, Karl-Mikael
dc.date.accessioned2019-03-21T08:30:24Z
dc.date.available2019-03-21T08:30:24Z
dc.date.created2018-12-12T11:04:13Z
dc.date.issued2019
dc.identifier.citationTransactions of the American Mathematical Society. 2019, 371 (1), 681-707.nb_NO
dc.identifier.issn0002-9947
dc.identifier.urihttp://hdl.handle.net/11250/2590976
dc.description.abstractWe consider sharp inequalities for Bergman spaces of the unit disc, establishing analogues of the inequality in Carleman's proof of the isoperimetric inequality and of Weissler's inequality for dilations. By contractivity and a standard tensorization procedure, the unit disc inequalities yield corresponding inequalities for the Bergman spaces of Dirichlet series. We use these results to study weighted multiplicative Hankel forms associated with the Bergman spaces of Dirichlet series, reproducing most of the known results on multiplicative Hankel forms associated with the Hardy spaces of Dirichlet series. In addition, we find a direct relationship between the two types of forms which does not exist in lower dimensions. Finally, we produce some counterexamples concerning Carleson measures on the infinite polydisc.nb_NO
dc.language.isoengnb_NO
dc.publisherAmerican Mathematical Societynb_NO
dc.titleContractive inequalities for Bergman spaces and multiplicative Hankel formsnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionacceptedVersionnb_NO
dc.source.pagenumber681-707nb_NO
dc.source.volume371nb_NO
dc.source.journalTransactions of the American Mathematical Societynb_NO
dc.source.issue1nb_NO
dc.identifier.doi10.1090/tran/7290
dc.identifier.cristin1642065
dc.description.localcode© 2018. This is the authors' accepted and refereed manuscript to the article. The final authenticated version is available online at: http://dx.doi.org/10.1090/tran/7290nb_NO
cristin.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextpreprint
cristin.qualitycode2


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