We establish continuity and Schatten-von Neumann properties for Fourier integral operators with amplitudes in weighted modulation spaces, when acting on modulation spaces themselves. The phase functions are non smooth and admit second order derivatives again in suitable classes of modulation spaces.
Schatten-von Neumann properties for Fourier integral operators with non smooth symbols
GARELLO, Gianluca
2010-01-01
Abstract
We establish continuity and Schatten-von Neumann properties for Fourier integral operators with amplitudes in weighted modulation spaces, when acting on modulation spaces themselves. The phase functions are non smooth and admit second order derivatives again in suitable classes of modulation spaces.
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