Abstract

The aim of this work is to study the boundedness of $h$-admissible Fourier integral operators. These operators are bounded on the Bessel potential spaces if the weight of the amplitude is bounded.

DOI

10.3906/mat-1904-10

Keywords

$h$-admissible Fourier integral operators, symbol and phase, Sobolev and Bessel potential spaces

First Page

2125

Last Page

2141

Recommended Citation

AID, O. F, & SENOUSSAOUI, A (2019). The boundedness of $h$-admissible Fourier integral operators on Bessel potential spaces. Turkish Journal of Mathematics 43 (5): 2125-2141. https://doi.org/10.3906/mat-1904-10

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