On the $L^p$ boundedness of semiclassical Fourier integral operators

Authors

  • O. Elong Laboratory of Fundamental and Applied Mathematics of Oran LMFAO, Department of Mathematics, University of Oran1 Ahmed BenBella, Oran, Algeria Author
  • A. Senoussaoui Laboratory of Fundamental and Applied Mathematics of Oran LMFAO, Department of Mathematics, University of Oran1 Ahmed BenBella, Oran, Algeria Author

Keywords:

$h$-Fourier integral operators, symbol and phase, $L^p$-boundedness

Subjects:

35S30

Abstract

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.

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Published

2018-07-15

Issue

Vol. 70 No. 3 (2018): Vol. 70, Issue 3

Section

Articles

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Copyright (c) 2018 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.