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Schatten–von Neumann properties for Fourier integral operators with non-smooth symbols, I

Francesco Concetti Department of Mathematics, University of Turin Joachim Toft Department of Mathematics and Systems Engineering, Växjö University

TBD mathscidoc:1701.333149

Arkiv for Matematik, 47, (2), 295-312, 2007.6
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 prove continuity and Schatten–von Neumann properties of such operators when acting on$L$^{2}.
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@inproceedings{francesco2007schatten–von,
  title={Schatten–von Neumann properties for Fourier integral operators with non-smooth symbols, I},
  author={Francesco Concetti, and Joachim Toft},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203625052758958},
  booktitle={Arkiv for Matematik},
  volume={47},
  number={2},
  pages={295-312},
  year={2007},
}
Francesco Concetti, and Joachim Toft. Schatten–von Neumann properties for Fourier integral operators with non-smooth symbols, I. 2007. Vol. 47. In Arkiv for Matematik. pp.295-312. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203625052758958.
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