【摘 要】
：
Let Ta,φ be a Fourier integral operator defined by the oscillatory integral Ta,φu(x) =1/(2π)n ∫Rn eiφ(x,ξ)a(x,ξ)(u)(ξ)dξ,where a ∈ S(e),me,δ and φ
【机 构】
：
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;College of Mathematics a
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Let Ta,φ be a Fourier integral operator defined by the oscillatory integral Ta,φu(x) =1/(2π)n ∫Rn eiφ(x,ξ)a(x,ξ)(u)(ξ)dξ,where a ∈ S(e),me,δ and φ ∈ Φ2,satisfying the strong non-degenerate condition.It is shown that if0 ＜ (e)≤ 1,0≤ δ ＜ 1 and m≤ (e)2-n/2,thenTα,φ is a bounded operator from L∞(Rn) to BMO(Rn).
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