The boundedness of $h$-admissible Fourier integral operators on Bessel potential spaces

Authors: OMAR FAROUK AID, ABDERRAHMANE SENOUSSAOUI

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.

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

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