Characterization of nuclearity for Beurling–Björck spaces

Debrouwere, Andreas; Neyt, Lenny; Vindas, Jasson

doi:10.1090/proc/15227

Characterization of nuclearity for Beurling–Björck spaces
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by Andreas Debrouwere, Lenny Neyt and Jasson Vindas PDF

Proc. Amer. Math. Soc. 148 (2020), 5171-5180 Request permission

Abstract:

We characterize the nuclearity of the Beurling–Björck spaces $\mathcal {S}^{(\omega )}_{(\eta )}(\mathbb {R}^d)$ and $\mathcal {S}^{\{\omega \}}_{\{\eta \}}(\mathbb {R}^d)$ in terms of the defining weight functions $\omega$ and $\eta$.

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