We give sufficient conditions for compactness of localization operators on modulation spaces $ extbf{M}^{p,q}_{m_{lambda}}( mathbb{R}^{d})$ of $omega$-tempered distributions whose short-time Fourier transform is in the weighted mixed space $L^{p,q}_{m_lambda}$ for $m_lambda(x)=e^{lambdaomega(x)}$.
Compactness of localization operators on modulation spaces of $omega$-tempered distributions
Chiara Boiti;
2019
Abstract
We give sufficient conditions for compactness of localization operators on modulation spaces $ extbf{M}^{p,q}_{m_{lambda}}( mathbb{R}^{d})$ of $omega$-tempered distributions whose short-time Fourier transform is in the weighted mixed space $L^{p,q}_{m_lambda}$ for $m_lambda(x)=e^{lambdaomega(x)}$.File in questo prodotto:
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