Abstract
We use the theory of Gabor frames to prove the boundedness of bilinear pseudodifferential operators on products of modulation spaces. In particular, we show that bilinear pseudodifferential operators corresponding to non-smooth symbols in the Feichtinger algebra are bounded on products of modulation spaces.
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Communicated by Guido Weiss.
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Bényi, Á., Okoudjou, K. Bilinear Pseudodifferential Operators on Modulation Spaces. J. Fourier Anal. Appl. 10, 301–313 (2004). https://doi.org/10.1007/s00041-004-0977-5
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DOI: https://doi.org/10.1007/s00041-004-0977-5