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 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.

arXiv comment23 pages; this version has been accepted for publication in Bull. Belg. Math. Soc. - Simon Stevin

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Cited by in corpus (8)

• On generalized definitions of ultradifferentiable classes
• The Theorem of Iterates for elliptic and non-elliptic Operators
• On the regularization of sequences and associated weight functions
• On inclusion relations between weighted spaces of entire functions
• Equality of ultradifferentiable classes by means of indices of mixed O-regular variation
• The Borel map in the mixed Beurling setting
• On the equivalence between moderate growth-type conditions in the weight matrix setting
• On Orlicz classes defined in terms of associated weight functions