Open AccessMultilinear Fourier integral operators on modulation spacesOpen Access
Author(s)
Dasgupta Aparajita,
Mohan Lalit,
Mondal Shyam Swarup
Publication year2024
Publication title
forum mathematicum
Resource typeJournals
PublisherDe Gruyter
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{\mathbf{SG}}-class.
Keyword(s)Fourier integral operator, bilinear pseudo-differential operator, modulation space, boundedness
Language(s)English
SCImago Journal Rank0.865
H-Index39
eISSN1435-5337
pISSN0933-7741
DOI10.1515/forum-2023-0158
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