Compactness of Fourier integral operators on weighted modulation spaces

Fernández, Carmen; Galbis, Antonio; Primo, Eva

doi:10.1090/tran/7668

Compactness of Fourier integral operators on weighted modulation spaces
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by Carmen Fernández, Antonio Galbis and Eva Primo PDF

Trans. Amer. Math. Soc. 372 (2019), 733-753 Request permission

Abstract:

Using the matrix representation of Fourier integral operators with respect to a Gabor frame, we study their compactness on weighted modulation spaces. As a consequence, we recover and improve some compactness results for pseudodifferential operators.

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