dc.contributor.author | Bayart, Frederic | |
dc.contributor.author | Brevig, Ole Fredrik | |
dc.date.accessioned | 2019-11-06T10:18:23Z | |
dc.date.available | 2019-11-06T10:18:23Z | |
dc.date.created | 2019-04-17T11:13:09Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Mathematische Zeitschrift. 2019, 1-26. | nb_NO |
dc.identifier.issn | 0025-5874 | |
dc.identifier.uri | http://hdl.handle.net/11250/2626845 | |
dc.description.abstract | We observe that local embedding problems for certain Hardy and Bergman spaces of Dirichlet series are equivalent to boundedness of a class of composition operators. Following this, we perform a careful study of such composition operators generated by polynomial symbols \varphi on a scale of Bergman-type Hilbert spaces \mathscr {D}_\alpha. We investigate the optimal \beta such that the composition operator \mathscr {C}_\varphi maps \mathscr {D}_\alpha boundedly into \mathscr {D}_\beta. We also prove a new embedding theorem for the non-Hilbertian Hardy space \mathscr {H}^p into a Bergman space in the half-plane and use it to consider composition operators generated by polynomial symbols on \mathscr {H}^p, finding the first non-trivial results of this type. The embedding also yields a new result for the functional associated to the multiplicative Hilbert matrix. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Springer Verlag | nb_NO |
dc.title | Composition operators and embedding theorems for some function spaces of Dirichlet series | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 1-26 | nb_NO |
dc.source.journal | Mathematische Zeitschrift | nb_NO |
dc.identifier.doi | 10.1007/s00209-018-2215-x | |
dc.identifier.cristin | 1693055 | |
dc.description.localcode | This is a post-peer-review, pre-copyedit version of an article published in [Mathematische Zeitschrift] Locked until 3.1.2020 due to copyright restrictions. The final authenticated version is available online at: https://doi.org/10.1007/s00209-018-2215-x | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |