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.
$h$-admissible Fourier integral operators, symbol and phase, Sobolev and Bessel potential spaces
AID, OMAR FAROUK and SENOUSSAOUI, ABDERRAHMANE
"The boundedness of $h$-admissible Fourier integral operators on Bessel potential spaces,"
Turkish Journal of Mathematics: Vol. 43:
5, Article 4.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss5/4