MATEMATI‚ČKI VESNIKVol. 70, No. 3, pp. 189–203 (2018)
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MATEMATI‚ČKI VESNIK Vol. 70, No. 3, pp. 189–203 (2018) |
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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 E-mail: elong_ouissam@yahoo.fr and Laboratory of Fundamental and Applied Mathematics of Oran LMFAO, Department of Mathematics, University of Oran1 Ahmed BenBella, Oran, Algeria E-mail: senoussaoui_abdou@yahoo.fr, senoussaoui.abderahmane@univ-oran.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)
Electronic fulltext finalized on: 22 Aug 2023. This page was last modified: 22 Aug 2023.
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