Trace Ideals for Fourier Integral Operators with Non-Smooth Symbols III

Details Trace Ideals for Fourier Integral Operators with Non-Smooth Symbols III Trace Ideals for Fourier Integral Operators with Non-Smooth Symbols III

2008-02-16

arxiv.org/abs/0802.2352v1

Mathematics

Analysis of PDEs

34 pages

Scientific paper

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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