Characterization of nuclearity for Beurling-Björck spaces

Abstract

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

10 pages

Cited by in corpus (1)

• Kernel theorems for Beurling-Björck type spaces