On the Lp 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, Lp-boundedness

Subjects:

35S30

Abstract

In this paper, we investigate the Lp-boundedness of semiclassical Fourier integral operators defined by symbols a(x,ξ) which behave in the spatial variable x like Lp functions and are smooth in the ξ 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.