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 $\eta$.

arXiv comment17 pages

References in corpus (4)

• On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution
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Cited by in corpus (1)

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