We study spaces $\mathcal{EV}(\Omega)$ of weighted smooth functions on an open subset $\Omega\subset\mathbb{R}^{d}$ whose topology is given by a family of weights $\mathcal{V}$. We derive sufficient conditions on the weights which make $\mathcal{EV}(\Omega)$ a nuclear space.
Characterization of nuclearity for Beurling-Björck spaces
The nuclearity of Gelfand-Shilov spaces and kernel theorems
About the nuclearity of ${\mathcal S}_{(M_{p})}$ and ${\mathcal S}_ω$
![QR code for arXiv:1809.06457 [math.FA]](http://oss.arxitics.com/images/favicon.svg)