Kernel theorems for Beurling-Björck type spaces

Abstract

We prove new kernel theorems for a general class of Beurling-Björck type spaces. In particular, our results cover the classical Beurling-Björck spaces ${\mathcal{S}}_{(\eta )}^{(\omega )}$ and ${\mathcal{S}}_{\{\eta \}}^{\{\omega \}}$ defined via weight functions $\omega$ and $\eta$.

17 pages

References in corpus (1)

• Characterization of nuclearity for Beurling-Björck spaces

Cited by in corpus (1)

• On inclusion relations of weighted $L^p$-type spaces defined in terms of weight function matrices