@article{10902/32277,
year = {2023},
month = {6},
url = {https://hdl.handle.net/10902/32277},
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.},
organization = {The first three authors are partially supported by the Spanish Ministry of Science and Innovation under the project PID2019-105621GB-I00. The fourth author is supported by FWF-Project P33417-N.},
publisher = {Springer},
publisher = {Results in Mathematics, 2023, 78(3), 98},
title = {Optimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectors},
author = {Jiménez Garrido, Jesús Javier and Miguel Cantero, Ignacio and Sanz, Javier and Schindl, Gerhard},
}