Author:
Boiti Chiara,Jornet David,Oliaro Alessandro,Schindl Gerhard
Abstract
AbstractWe study and characterize the inclusion relations of global classes in the general weight matrix framework in terms of growth relations for the defining weight matrices. We consider the Roumieu and Beurling cases, and as a particular case, we also treat the classical weight function and weight sequence cases. Moreover, we construct a weight sequence which is oscillating around any weight sequence which satisfies some minimal conditions and, in particular, around the critical weight sequence $$(p!)^{1/2}$$
(
p
!
)
1
/
2
, related with the non-triviality of the classes. Finally, we also obtain comparison results both on classes defined by weight functions that can be defined by weight sequences and conversely.
Funder
Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni
Università degli Studi di Ferrara
Ministerio de Ciencia e Innovación
Austrian Science Fund
Universitat Politècnica de València
Publisher
Springer Science and Business Media LLC
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