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oai:uvadoc.uva.es:10324/752302025-03-04T20:01:22Zcom_10324_32197com_10324_952com_10324_894col_10324_32199

Stability properties of ultraholomorphic classes of Roumieu-type defined by weight matrices Jimenez Garrido, Jesús Javier Miguel Cantero, Ignacio Sanz Gil, Javier Schindl, Gerhard 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. 2025-03-04T13:52:29Z 2025-03-04T13:52:29Z 2025-03-04T13:52:29Z 2024 info:eu-repo/semantics/article Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2024, vol. 118, n. 3 1578-7303 https://uvadoc.uva.es/handle/10324/75230 10.1007/s13398-024-01581-4 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 118 1579-1505 eng https://link.springer.com/article/10.1007/s13398-024-01581-4 info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ © 2024 The Author(s) Atribución 4.0 Internacional Springer