Compactness of localization operators on modulation spaces of $\omega$-tempered distributions

Abstract

We give sufficient conditions for compactness of localization operators on modulation spaces ${\text{M}}_{m_{\lambda }}^{p,q}({\mathbb{R}}^d)$ of $\omega$-tempered distributions whose short-time Fourier transform is in the weighted mixed space $L_{m_{\lambda }}^{p,q}$ for $m_{\lambda }(x)=e^{\lambda \omega (x)}$.

References in corpus (1)

• Real Paley-Wiener theorems in spaces of ultradifferentiable functions