Global boundedness of multilinear Fourier integral operators
Analysis of PDEs
2011-12-06 v2
Abstract
We study the global boundedness of bilinear and multilinear Fourier integral operators on Banach and quasi-Banach spaces, where the amplitudes of the operators are smooth or rough in the spatial variables. The results are obtained by proving suitable global boundedness of rough linear Fourier integral operators with amplitudes that behave as functions in the spatial variables. The bilinear and multilinear boundedness estimates are proven by using either an iteration procedure or decomposition of the amplitudes, and thereafter applying our global results for linear Fourier integral operators with rough amplitudes.
Keywords
Cite
@article{arxiv.1111.4652,
title = {Global boundedness of multilinear Fourier integral operators},
author = {Salvador Rodriguez-Lopez and Wolfgang Staubach},
journal= {arXiv preprint arXiv:1111.4652},
year = {2011}
}
Comments
35 pages