RT info:eu-repo/semantics/article
T1 Optimal flat functions in Carleman–Roumieu ultraholomorphic classes in sectors
A1 Jiménez Garrido, Javier
A1 Miguel Cantero, Ignacio
A1 Sanz Gil, Javier
A1 Schindl, Gerhard
K1 Carleman–Roumieu ultraholomorphic classes
K1 Asymptotic expansions
K1 Linear extension operators
K1 12 Matemáticas
AB 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.
PB Springer
SN 1422-6383
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/59000
UL https://uvadoc.uva.es/handle/10324/59000
LA eng
NO Results in Mathematics, 2023, vol. 78, n. 3, art. 98.
NO Producción Científica
DS UVaDOC
RD 24-nov-2024