Global boundedness of multilinear Fourier integral operators

2019/10/13 by Rodriguez-Lopez, Salvador, Rule, David, Staubach, Wolfgang
#30H10 #30H35 #35S30 #42B20 #42B25 #42B35 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1910.05824

Abstract

We establish global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on product of L^p spaces by proving endpoint boundedness on suitable products spaces containing combinations of the local Hardy space, the local BMO and the L² spaces.

Related

• Global boundedness of multilinear Fourier integral operators
• Global regularity properties for a class of Fourier integral operators
• Multilinear Fourier Multipliers with Minimal Sobolev Regularity, II
• A local-to-global boundedness argument and Fourier integral operators
• Regularity of Fourier integrals on product spaces