RT info:eu-repo/semantics/article
T1 Stability properties of ultraholomorphic classes of Roumieu-type defined by weight matrices
A1 Jimenez Garrido, Jesús Javier
A1 Miguel Cantero, Ignacio
A1 Sanz Gil, Javier
A1 Schindl, Gerhard
K1 Ultraholomorphic classes
K1 Weight matrices and weight functions
K1 Indices of regular variation
K1 Stability properties
K1 Characteristic functions
K1 12 Matemáticas
AB We characterize several stability properties, such as inverse or composition closedness, forultraholomorphic function classes of Roumieu type defined in terms of a weight matrix. Inthis way we transfer and extend known results from J. Siddiqi and M. Ider, from the weightsequence setting and in sectors not wider than a half-plane, to the weight matrix frameworkand for sectors in the Riemann surface of the logarithm with arbitrary opening. The keyargument rests on the construction, under suitable hypotheses, of characteristic functions inthese classes for unrestricted sectors. As a by-product, we obtain new stability results whenthe growth control in these classes is expressed in terms of a weight sequence, or of a weightfunction in the sense of Braun–Meise–Taylor.
PB Springer
SN 1578-7303
YR 2024
FD 2024
LK https://uvadoc.uva.es/handle/10324/75230
UL https://uvadoc.uva.es/handle/10324/75230
LA eng
NO Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2024, vol. 118, n. 3
NO Producción Científica
DS UVaDOC
RD 12-mar-2025