Global boundedness of a class of multilinear Fourier integral operators

Abstract

We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of $L^p$ spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local Hardy space, the local BMO and the $L^2$ spaces.

Keywords

• 35S30
• 42B20
• 30H10
• 30H35
• 42B25
• 42B35