@article{10902/35919,
year = {2024},
month = {7},
url = {https://hdl.handle.net/10902/35919},
abstract = {We characterize several stability properties, such as inverse or composition closedness, for ultraholomorphic function classes of Roumieu type defined in terms of a weight matrix. In this way we transfer and extend known results from J. Siddiqi and M. Ider, from the weight sequence setting and in sectors not wider than a half-plane, to the weight matrix framework and for sectors in the Riemann surface of the logarithm with arbitrary opening. The key argument rests on the construction, under suitable hypotheses, of characteristic functions in these classes for unrestricted sectors. As a by-product, we obtain new stability results when the growth control in these classes is expressed in terms of a weight sequence, or of a weight function in the sense of Braun-Meise-Taylor.},
organization = {The first three authors are partially supported by the Spanish Ministry of Science and Innovation under the project PID2019-105621GB-I00. The research of the fourth author was funded in whole by the Austrian Science Fund (FWF) project 10.55776/P33417.},
publisher = {Springer},
publisher = {Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2024, 118(3), 85},
title = {Stability properties of ultraholomorphic classes of Roumieu-type defined by weight matrices},
author = {Jiménez Garrido, Jesús Javier and Miguel-Cantero, Ignacio and Sanz, Javier and Schindl, Gerhard},
}