On generalized definitions of ultradifferentiable classes

Jiménez Garrido, Jesús Javier; Nenning, David Nicolas; Schindl, Gerhard

doi:10.1016/j.jmaa.2023.127260

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Identificadores

URI: https://hdl.handle.net/10902/32278

DOI: 10.1016/j.jmaa.2023.127260

ISSN: 0022-247X

ISSN: 1096-0813

Fecha

2023-12

Derechos

Publicado en

Journal of Mathematical Analysis and Applications, 2023, 526(21), 127260

Editorial

Academic Press Inc.

Enlace a la publicación

https://doi.org/10.1016/j.jmaa.2023.127260

Palabras clave

Classes of ultradifferentiable functions

Weight sequences and weight matrices

Resumen/Abstract

We show that the ultradifferentiable-like classes of smooth functions introduced and studied by S. Pilipović, N. Teofanov and F. Tomić are special cases of the general framework of spaces of ultradifferentiable functions defined in terms of weight matrices in the sense of A. Rainer and the third author. We study classes "beyond geometric growth factors" defined in terms of a weight sequence and an exponent sequence, prove that these new types admit a weight matrix representation and transfer known results from the matrix-type to such a non-standard ultradifferentiable setting.

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© 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

Excepto si se señala otra cosa, la licencia del ítem se describe como © 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).