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About the nuclearity of ${\mathcal S}_{(M_{p})}$ and ${\mathcal S}_{\omega}$
- Publication Year :
- 2019
-
Abstract
- We use an isomorphism established by Langenbruch between some sequence spaces and weighted spaces of generalized functions to give sufficient conditions for the (Beurling type) space ${\mathcal S}_{(M_p)}$ to be nuclear. As a consequence, we obtain that for a weight function $\omega$ satisfying the mild condition: $2\omega(t)\leq \omega(Ht)+H$ for some $H>1$ and for all $t\geq0$, the space ${\mathcal S}_\omega$ in the sense of Bj\"orck is also nuclear.
- Subjects :
- Mathematics - Functional Analysis
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1902.09187
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/978-3-030-36138-9_6