Abstract

We study in this work a class of $h$-admissible Fourier integral operators. These operators are bounded (respectively compact) in $L^{2}$ if the weight of the amplitude is bounded (respectively tends to 0).

DOI

10.3906/mat-1506-47

Keywords

$h$-Admissible Fourier integral operators, symbol and phase, boundedness and compactness

First Page

553

Last Page

568

Recommended Citation

AITEMRAR, C. A, & SENOUSSAOUI, A (2016). $h$-Admissible Fourier integral operators. Turkish Journal of Mathematics 40 (3): 553-568. https://doi.org/10.3906/mat-1506-47

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