Trace ideals for Fourier integral operators with non-smooth symbols II

Details Trace ideals for Fourier integral operators with non-smooth symbols II Trace ideals for Fourier integral operators with non-smooth symbols II

2007-10-20

arxiv.org/abs/0710.3834v1

Mathematics

Analysis of PDEs

25 pages

Scientific paper

10.1007/s11512-008-0075-z

We consider Fourier integral operators with symbols in modulation spaces and
non-smooth phase functions whose second orders of derivatives belong to certain
types of modulation space. We establish continuity and Schatten-von Neumann
properties of such operators when acting on modulation spaces.

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