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Equality of ultradifferentiable classes by means of indices of mixed O-regular variation

Abstract: We characterize the equality between ultradifferentiable function classes defined in terms of abstractly given weight matrices and in terms of the corresponding matrix of associated weight functions by using new growth indices. These indices, defined by means of weight sequences and (associated) weight functions, are extending the notion of O-regular variation to a mixed setting. Hence we are extending the known comparison results concerning classes defined in terms of a single weight sequence and of a single weight function and give also these statements an interpretation expressed in O-regular variation.

 Autoría: Jiménez-Garrido J., Sanz J., Schindl G.,

 Fuente: Results in Mathematics, 2022, 77, 28

 Editorial: Springer

 Año de publicación: 2022

 Nº de páginas: 32

 Tipo de publicación: Artículo de Revista

 DOI: 10.1007/s00025-021-01566-4

 ISSN: 1422-6383,1420-9012

 Proyecto español: PID2019-105621GB-I00

 Url de la publicación: https://doi.org/10.1007/s00025-021-01566-4

Autoría

JESUS JAVIER JIMENEZ GARRIDO

SANZ, JAVIER

SCHINDL, GERHARD