@article{10902/32788,
year = {2020},
month = {9},
url = {https://hdl.handle.net/10902/32788},
abstract = {The aim of this work is to generalize the ultraholomorphic extension theorems from V. Thilliez in the weight sequence setting and from the authors in the weight function setting (of Roumieu type) to a mixed framework. Such mixed results have already been known for ultradifferentiable classes and it seems natural that they have ultraholomorphic counterparts. In order to have control on the opening of the sectors in the Riemann surface of the logarithm for which the extension theorems are valid we are introducing new mixed growth indices which are generalizing the known ones for weight sequences and functions. As it turns out, for the validity of mixed extension results the so-called order of quasianalyticity (introduced by the second author for weight sequences) is becoming important.},
organization = {J. Jiménez-Garrido and J. Sanz are partially supported by the Spanish Ministry of Economy, Industry and Competitiveness under the project MTM2016-77642-C2-1-P. J. Jiménez-Garrido has been partially supported by the University of Valladolid through a Predoctoral Fellowship (2013 call) co-sponsored by the Banco de Santander. G. Schindl is supported by the Austrian research fund (FWF) Project J 3948-N35, as a part of which he has been an external researcher at the Universidad de Valladolid (Spain) for the period October 2016 - December 2018.},
publisher = {Duke University Press},
publisher = {Banach Journal of Mathematical Analysis, 2020, 14, 1630-1669},
title = {Ultraholomorphic extension theorems in the mixed setting},
author = {Jiménez Garrido, Jesús Javier and Sanz, Javier and Schindl, Gerhard},
}