MATEMATI‚ČKI VESNIK Vol. 70, No. 3, pp. 189–203 (2018) 

On the $L^p$ boundedness of semiclassical Fourier integral operatorsO. Elong and A. SenoussaouiLaboratory of Fundamental and Applied Mathematics of Oran LMFAO, Department of Mathematics, University of Oran1 Ahmed BenBella, Oran, Algeria Email: elong_ouissam@yahoo.fr and Laboratory of Fundamental and Applied Mathematics of Oran LMFAO, Department of Mathematics, University of Oran1 Ahmed BenBella, Oran, Algeria Email: senoussaoui_abdou@yahoo.fr, senoussaoui.abderahmane@univoran.dzAbstract: In this paper, we investigate the $L^p$boundedness of semiclassical Fourier integral operators defined by symbols $a(x,\xi)$ which behave in the spatial variable $x$ like $L^p$ functions and are smooth in the $\xi$ variable. Keywords: $h$Fourier integral operators; symbol and phase; $L^p$boundedness. Classification (MSC2000): 35S30 Full text of the article: (for faster download, first choose a mirror)
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