Characterization of nuclearity for Beurling-Björck spaces

Andreas Debrouwere, Lenny Neyt, Jasson Vindas

Published 2019-08-28Version 1

We characterize the nuclearity of the Beurling-Bj\"{o}rck 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 $\eta$.