Abstract
In this article, we study properties of multilinear Fourier integral operators on weighted modulation spaces. In particular, using the theory of Gabor frames, we study boundedness of multilinear Fourier integral operators on products of weighted modulation spaces. Further, we investigate the periodic multilinear Fourier integral operator. Finally, we study continuity of bilinear pseudo-differential operators on modulation spaces for certain symbol classes, namely
Funding statement: The first and third authors were supported by Core Research Grant (RP03890G), Science and Engineering Research Board (SERB), DST, India. The second author was supported by IIT Delhi Institute fellowship.
Acknowledgements
The authors wish to thank the anonymous referees for their helpful comments and suggestions that helped to improve the quality of the paper.
References
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