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.
HörmanderThe Analysis of Linear Partial Differential Operators, vol i–iv, Springer-Verlag, Berlin Heidelberg NewYork Tokyo, 1983
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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.