Compactness is established for pseudo-differential operators whose symbols lie in the refined modulation space M^{sharp,q} (0 < q ≤ 1) when acting on a broad family of modulation spaces.
ToftThe Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators, J
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Fourier integral operators with amplitudes in Orlicz modulation spaces are continuous and Schatten-von Neumann when mapping between Orlicz modulation spaces, for non-smooth phases whose second derivatives lie in modulation spaces.
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Compactness for pseudo-differential and Toeplitz operators on modulation spaces
Compactness is established for pseudo-differential operators whose symbols lie in the refined modulation space M^{sharp,q} (0 < q ≤ 1) when acting on a broad family of modulation spaces.
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Fourier integral operators on Orlicz modulation spaces
Fourier integral operators with amplitudes in Orlicz modulation spaces are continuous and Schatten-von Neumann when mapping between Orlicz modulation spaces, for non-smooth phases whose second derivatives lie in modulation spaces.