Optimal Flat Functions in Carleman–Roumieu Ultraholomorphic Classes in Sectors
Optimal Flat Functions in Carleman–Roumieu Ultraholomorphic Classes in Sectors
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 …