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Abstract: We construct optimal flat functions in Carleman-Roumieu ultraholomorphic classes associated to general strongly nonquasianalytic weight sequences, and defined on sectors of suitably restricted opening. A general procedure is presented in order to obtain linear continuous extension operators, right inverses of the Borel map, for the case of regular weight sequences in the sense of Dyn'kin. Finally, we discuss some examples (including the well-known q-Gevrey case) where such optimal flat functions can be obtained in a more explicit way.
Fuente: Results in Mathematics, 2023, 78(3), 98
Publisher: Springer
Publication date: 01/06/2023
No. of pages: 35
Publication type: Article
DOI: 10.1007/s00025-023-01859-w
ISSN: 1422-6383,1420-9012
Spanish project: PID2019- 105621GB-I00
Publication Url: https://doi.org/10.1007/s00025-023-01859-w
Consult in UCrea Read publication
JESUS JAVIER JIMENEZ GARRIDO
MIGUEL CANTERO, IGNACIO
SANZ, JAVIER
SCHINDL, GERHARD
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