On the Global L∞→BMO Mapping Property for Fourier Integral Operators

Let Ta,φ be a Fourier integral operator defined with a ∈ Sϱ,δm and φ ∈ Φ2 satisfying the strong non-degenerate condition. It is shown that Ta,φ is a bounded operator from L∞(ℝn) to BMO(ℝn), if 0 ≤ ...