Boundedness of Fourier integral operators on Fourier Lebesgue spaces and affine fibrations

Abstract

We study Fourier integral operators of Hörmander's type acting on the spaces $\mathcal F L^p(\mathbb R^d)_{\rm comp} $, $1\leq p\leq\infty$, of compactly supported distributions whose Fourier transform is in $L^p$. We show that the sharp loss of derivati

Locations

• arXiv (Cornell University) - View - PDF
• Studia Mathematica - View - PDF