On subadditivity-like conditions for associated weight functions
Functional Analysis
2022-05-18 v2
Abstract
The aim of this article is to provide characterizations for subadditivity-like growth conditions for the so-called associated weight functions in terms of the defning weight sequence. Such growth requirements arise frequently in the literature and are standard when dealing with ultradifferentiable function classes defned by Braun-Meise-Taylor weight functions since they imply or even characterize important and desired consequences for the underlying function spaces, e.g. closedness under composition.
Cite
@article{arxiv.2101.11411,
title = {On subadditivity-like conditions for associated weight functions},
author = {Gerhard Schindl},
journal= {arXiv preprint arXiv:2101.11411},
year = {2022}
}
Comments
23 pages; this version has been accepted for publication in Bull. Belg. Math. Soc. - Simon Stevin