On subadditivity-like conditions for associated weight functions

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 defining weight sequence. Such growth requirements arise frequently in the literature and are standard when dealing with ultradifferentiable function classes defined 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.