Multipliers on Sω(RN)

The aim of this paper is to introduce and to study the space O M , ω ( R N ) of the multipliers of the space S ω ( R N ) of the ω -ultradifferentiable rapidly decreasing functions of Beurling type. We determine various properties of the space O M , ω ( R N ) . Moreover, we define and compare some lc...

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Veröffentlicht in:Journal of pseudo-differential operators and applications 2021-06, Vol.12 (2)
Hauptverfasser: Albanese, Angela A., Mele, Claudio
Format: Artikel
Sprache:eng
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Zusammenfassung:The aim of this paper is to introduce and to study the space O M , ω ( R N ) of the multipliers of the space S ω ( R N ) of the ω -ultradifferentiable rapidly decreasing functions of Beurling type. We determine various properties of the space O M , ω ( R N ) . Moreover, we define and compare some lc-topologies of which O M , ω ( R N ) can be naturally endowed.
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-021-00406-x